BA6933 WEEK-1 ASST-(1,2,3)

 

1(Q) Many service companies collect data via a follow-up survey of their customers. For example, to ascertain customer sentiment, Delta Air Lines sends an e-mail to customers immediately following a flight. Among other questions, Delta asks: How likely are you to recommend Delta Air Lines to others? The possible responses are: Definitely Will Probably Will May or May Not Probably Will Not Definitely Will Not ○ ○ ○ ○ ○ a.  Are the data collected by Delta in this example quantitative or categorical? - Select your answer - Categorical Quantitative Item 1   b. What measurement scale is used? - Select your answer - Ratio Interval Nominal Ordinal Item 2

Hide Feedback

Correct

2(Q) Refer to the data set in table as shown below: Excel File: data01-05.xlsx Brand Model Price ($) Overall Score Voice Quality Talk Time (hours) AT&T CL84100 60 73 Excellent 7 AT&T TL92271 80 70 Very Good 7 Panasonic 4773B 100 78 Very Good 13 Panasonic 6592T 70 72 Very Good 13 Uniden D2997 45 70 Very Good 10 Uniden D1788 80 73 Very Good 7 Vtech DS6521 60 72 Excellent 7 Vtech CS6649 50 72 Very Good 7 a. What is the average price for the phones (to 2 decimals)?    b. What is the average talk time for the phones (to 3 decimals)?   hours c. What percentage of the phones have a voice quality of excellent (to the nearest whole number)?

Hide Feedback

Correct

3(Q) Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in  2016 was 40% . In the year 200 , this percentage was , in  it was 32% , in 1985 it Was 25%, and in 1964 it was only 16% (Pew Research website). a. What is the population being studied in each of the four years in which Pew has data? - Select your answer - Employed individuals in the U.S. aged 25-29 Unemployed individuals in the U.S. aged 25-29 Employed and unemployed individuals in the U.S. aged 25-29 Item 1   b. What question was posed to each respondent? - Select your answer - Where are you currently employed? At what age did you earn your bachelor's degree? Have you earned a bachelor's degree (or higher)? Item 2   c. Do responses to the question provide categorical or quantitative data? - Select your answer - Categorical Quantitative Item 3

Hide Feedback

Correct

4(Q)  A Gallup Poll utilizing a random sample of 1,503 adults ages 18 or older was conducted in April 2018 . The survey indicated a majority of Americans (53%) say driverless cars will be common in the next 10 years (Gallup, https://news.gallup.com/poll/234152/americans-expect-driverless-cars-common-next-decade.aspx). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of results of the survey in a histogram indicating the percentage of the total responses in different time intervals. a. Are the responses to the survey question quantitative or categorical? - Select your answer - Categorical Quantitative Item 1   b. How many of the respondents said that they expect driverless cars to be common in the next 10  years? Round your answer to nearest whole number.   c. How many respondents answered in the range 16-20 years? Round your answer to nearest whole number.

Hide Feedback

Correct

5 (Q)  A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug. a. This study compared two populations. What were the populations? - Select your answer - Types of DES that cause cancer and types that do not. Women with tissue abnormalities and women without. Women whose mothers took DES during pregnancy and women whose mothers did not. Women who developed cancer and mothers who took DES. Item 1   b. Do you suppose the data were obtained in a survey or in an experiment? - Select your answer - Experiment Survey Item 2   c. For the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to cancer. Provide a descriptive statistic (to 1 decimal) that could be used to estimate the number of women out of 1000 in this population who have tissue abnormalities.   out of 1000 women developed tissue abnormalities d. For the population of women whose mothers did not take the drug DES during pregnancy, what is the estimate (to 1 decimal) of the number of women out of 1000 who would be expected to have tissue abnormalities? (Hint: remember that women whose mothers took the drug were twice as likely to develop tissue abnormalities.)   out of  1000 women developed tissue abnormalities e. True or false: Medical studies often use a relatively large sample (in this case, 3980) because disease occurrences can be rare and difficult to observe when only isolated populations are considered. - Select your answer - True False Item 5

Hide Feedback

Correct

6(Q) Consumer Reports evaluates products for consumers. The file CompactSUV (click on the datafile logo to reference the data) contains the data shown in the table below for 15 compact sports utility vehicles (SUVs) from the 2018 model line (Consumer Reports website): Make — manufacturer Model — name of the model Overall score — awarded based on a variety of measures, including those in this data set Recommended — Consumer Reports recommends the vehicle or not Owner satisfaction — satisfaction on a five-point scale based on the percentage of owners who would purchase the vehicle again (——, —,0 , +, ++) Overall miles per gallon — miles per gallon achieved in a 150-mile test trip Acceleration ( 0---60 sec) — time in seconds it takes vehicle to reach  miles per hour from a standstill with the engine idling Consumer Reports Data Set for 15 Compact Sports Utility Vehicles Overall Owner Overall Miles Acceleration Make Model Score Recommended Satisfaction per Gallon (0–60) Sec Subaru Forester 84 Yes + 26 8.7 Honda CRV 83 Yes ++ 27 8.6 Toyota Rav4 81 Yes ++ 24 9.3 Nissan Rogue 73 Yes + 24 9.5 Mazda CX-5 71 Yes ++ 24 8.6 Kia Sportage 71 Yes + 23 9.6 Ford Escape 69 Yes 0 23 10.1 Volkswagen Tiguan Limited 67 No 0 21 8.5 Volkswagen Tiguan 65 No + 25 10.3 Mitsubishi Outlander 63 No 0 24 10.0 Chevrolet Equinox 63 No 0 31 10.1 Hyundai Tuscon 57 No 0 26 8.4 GMC Terrain 57 No 0 22 7.2 Jeep Cherokee 55 No — 22 10.9 Jeep Compass 50 No 0 24 9.8 a. How many variables are in the data set?   b. Which of the following variables are categorical, and which are quantitative? Overall Score - Select your answer - Categorical Quantitative Item 2   Recommended - Select your answer - Categorical Quantitative Item 3   Owner satisfaction - Select your answer - Categorical Quantitative Item 4   Overall miles per gallon - Select your answer - Categorical Quantitative Item 5   Acceleration () Sec - Select your answer - Categorical Quantitative Item 6   c. What percentage of these 15 vehicles are recommended? Round your answer to one decimal place.    d. What is the average of the overall miles per gallon across all 15 vehicles? Round your answer to one decimal place.   e. For owner satisfaction, select the bar chart. A. B. C. D. Choose the correct bar graph from the above diagrams. - Select your answer - A B C D Item 9   f. Show the frequency distribution for acceleration using the intervals: , , , and . Round your answers to the nearest whole number. Acceleration (0 — 60 sec) Frequency 7.0 _ 7.9   8.0 _8.9   9.0 _ 9.9   10.0 _10.9     A. B. C. D. Choose the correct histogram from the above diagrams. - Select your answer - A B C D Item 14

Hide Feedback

Correct

( Chapter Assinement 2 )   1(Q)   The response to a question has three alternatives: , , and . A sample of  responses provides  ,  , and  . Show the frequency and relative frequency distributions (use 2 decimal for the relative frequency column). Class Frequency Relative Frequency A     B     C     Total

Hide Feedback

Correct

In alphabetical order, the six most common last names in the United States in 2018 were Brown, Garcia, Johnson, Jones, Smith, and Williams (United States Census Bureau website). Assume that a sample of  individuals with one of these last names provided the following data. Click on the datafile logo to reference the data. Brown Williams Williams Williams Brown Smith Jones Smith Johnson Smith Garcia Smith Brown Williams Johnson Johnson Smith Smith Johnson Brown Williams Garcia Johnson Williams Johnson Williams Johnson Jones Smith Brown Johnson Smith Smith Brown Jones Jones Jones Smith Smith Garcia Garcia Jones Williams Garcia Smith Jones Johnson Brown Johnson Garcia Summarize the data by constructing the following items. a. Fill in the frequency (to the whole number), the relative frequency (to 2 decimals), and percent frequency (to the whole number) values below. Relative Percent Name Frequency Frequency Frequency Brown       Johnson       Jones       Garcia       Smith       Williams       Total:       b. Which of the following three bar charts accurately represents the data? 1. 2. 3. - Select your answer - Chart 1 Chart 2 Chart 3 None of these three charts Item 22   c. Which of the following three sorted bar charts accurately represents the data? 1. 2. 3. - Select your answer - Chart 1 Chart 2 Chart 3 None of these three charts Item 23   d. Select the correct pie chart from the following. 1. 2. 3. - Select your answer - Chart 1 Chart 2 Chart 3 None of these three charts Item 24   e.  Based on these data, what are the three most common last names? - Select your answer - Brown, Johnson, and Garcia Smith, Jones, and Brown Jones, Smith, and Garcia Jones, Smith, and Williams Smith, Johnson, and Williams Item 25   Which type of chart makes this most apparent? - Select your answer - A bar chart A sorted bar chart A pie chart Item 26

Hide Feedback

Correct

3(Q)  

Consider the following data. Click on the datafile logo to reference the data. 14 21 23 21 16 19 22 25 16 16 24 24 25 19 16 19 18 19 21 12 16 17 18 23 25 20 23 16 20 19 24 26 15 22 24 20 22 24 22 20 Summarize the data by filling in the frequency, the relative frequency (3 decimals), and the percent frequency (1 decimal) values below. Class Frequency Relative Frequency Percent Frequency                                    Total

Hide Feedback

Correct

 

Each year America.edu ranks the best paying college degrees in America. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the  college degrees with the highest mid-career salary (America.edu website). Click on the datafile logo to reference the data. Degree Starting Salary Mid-Career Salary % Increase Aerospace engineering 59,400 108,000 82 Applied mathematics 56,400 101,000 79 Biomedical engineering 54,800 101,000 84 Chemical engineering 64,800 108,000 67 Civil engineering 53,500 93,400 75 Computer engineering 61,200 87,700 43 Computer science 56,200 97,700 74 Construction Management 50,400 87,000 73 Economics 48,800 97,800 100 Electrical engineering 60,800 104,000 71 Finance 47,500 91,500 93 Government 41,500 88,300 113 Information systems 49,300 87,100 77 Management info. systems 50,900 90,300 77 Mathematics 46,400 88,300 90 Nuclear engineering 63,900 104,000 63 Petroleum engineering 93,000 157,000 69 Physics 50,700 99,600 96 Software engineering 56,700 91,300 61 Statistics 50,000 93,400 87 a.  Using a class width of , select a histogram for the percentage increase in the starting salary. 1.   2.   3.   4.   - Select your answer - Histogram 1 Histogram 2 Histogram 3 Histogram 4 Item 1   b.  Comment on the shape of the distribution. The histogram is  - Select your answer - skewed to the left skewed to the right symmetrical Item 2  . c.  Develop a stem-and-leaf display for the percentage increase in the starting salary. If your answer is "zero" enter "". d.  What are the primary advantages of the stem-and-leaf display as compared to the histogram? - Select your answer - Easier to construct by hand and provides more information than the histogram. Easier to construct and it does not show all of the digits in the actual data. Item 31

Hide Feedback

Correct

 

Recently, management at Oak Tree Golf Course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comments of just a few, the Golf Association conducted a survey of 100 male and 100 female golfers. The survey results are summarized here. Excel File: data02-31.xlsx Male Golfers Female Golfers Green Condition Green Condition Handicap Too Fast Fine Handicap Too Fast Fine Under 15 10 40 Under 15 1 9 15 or more 25 25 15 or more 39 51 a. Complete the crosstabulation shown below. Green Condition Gender Too Fast Fine Total Male       Female       Total       Which group shows the highest percentage saying that the greens are too fast? - Select your answer - Males, at 55% Females, at 25% Females, at 40% Both groups have identical responses Item 10   b. Refer to the initial crosstabulations. For those players with low handicaps (better players), which group (male or female) shows the highest percentage saying the greens are too fast? For the low handicappers, the  - Select your answer - men women Item 11   have a higher percentage who think the greens are too fast. c. Refer to the initial crosstabulations. For those players with higher handicaps, which group (male or female) shows the highest percentage saying the greens are too fast? For the high handicappers, the  - Select your answer - men women Item 12   have a higher percentage who think the greens are too fast. d. At each handicap level, how does the percentage of women who think the greens are too fast compare to the percentage of men who feel the same? - Select your answer - It is smaller than that of the men. It is larger than that of the men. It is identical to that of the men. Item 13   When the crosstabulations are aggregated across handicap level, do you still conclude the same thing when comparing the percentage of women who complain that the greens are too fast with the percentage of the men who feel the same? - Select your answer - Yes No Item 14   Note: This exercise is an example of Simpson's Paradox.

Hide Feedback

Correct

According to The Wall Street Journal, a startup company’s ability to gain funding is a key to success. The funds raised (in millions of dollars) by  startup companies follow. Click on the datafile logo to reference the data. 81 61 103 166 168 80 51 130 77 78 69 119 81 60 20 73 50 110 21 60 192 18 54 49 63 91 272 58 54 40 47 24 57 78 78 154 72 38 131 52 48 118 40 49 55 54 112 129 156 31 a. Construct a stem-and-leaf display. If your answer is "zero" enter "". b. Comment on the display. The majority of the startup companies in this set have  - Select your answer - less than more than Item 78    90$ million in venture capital. Of the 50 startup companies sampled,   have more than  million.

Hide Feedback

Correct

Western University has only one women's softball scholarship remaining for the coming year. The final two players that Western is considering are Allison Fealey and Emily Janson. The coaching staff has concluded that the speed and defensive skills are virtually identical for the two players, and that the final decision will be based on which player has the best batting average. Crosstabulations of each player's batting performance in their junior and senior years of high school are as follows: Excel File: data02-51.xlsx Allison Fealey Emily Janson Outcome Junior Senior Outcome Junior Senior Hit 15 75 Hit 70 35 No Hit 25 175 No Hit 130 85 Total At-Bats 40 250 Total At-Bats 200 120 A player's batting average is computed by dividing the number of hits a player has by the total number of at-bats. Batting averages are represented as a decimal number with three places after the decimal. a. Calculate the batting average for each player in her junior year.   Junior Allison Fealey   Emily Janson   Calculate the batting average of each player in her senior year.   Senior Allison Fealey   Emily Janson   Which player should be awarded the scholarship? Explain. Since her batting average for both junior and senior years was higher,  - Select your answer - Allison Fealey Emily Janson Item 5   should be awarded the scholarship. b. Combine or aggregate the data for the junior and senior years into one crosstabulation as follows:   Combined 2-Year Batting Outcome A. Fealey E. Janson Hit     No Hit     Total At-Bats     Calculate each player's batting average for the combined two years.   Junior/Senior Years Allison Fealey   Emily Janson   Which player should be awarded the scholarship? Explain. Because  - Select your answer - Allison Fealey Emily Janson Item 14   has the higher combined batting average, she should be awarded the scholarship. c. Are the recommendations you made in parts (a) and (b) consistent? Explain any apparent inconsistencies. - Select your answer - The recommendations in parts (a) and (b) are consistent. Emily Janson has the higher batting average using both methods to calculate. The recommendations in parts (a) and (b) are consistent. Allison Fealey has the higher batting average using both methods to calculate. The recommendations in parts (a) and (b) are not consistent. This is an example of Simpson’s Paradox. Item 15

Hide Feedback

Correct

Each year Forbes ranks the world's most valuable brands. A portion of the data for  of the brands in the  Forbes list is shown in the table below (Forbes website). The data set includes the following variables: Brand: The name of the brand. Industry: The type of industry associated with the brand, labeled Automotive & Luxury, Consumer Packaged Goods, Financial Services, Other, Technology. Brand Value ( billions): A measure of the brand's value in billions of dollars developed by Forbes based on a variety of financial information about the brand. 1-Yr Value Change (): The percentage change in the value of the brand over the previous year. Brand Revenue ( billions): The total revenue in billions of dollars for the brand. Click on the datafile logo to reference the data. Brand Industry Brand Value ($ billions) 1-Yr Value Change (%) Brand Revenue ($ billions) Accenture Other 9.7 10 30.4 Adidas Other 8.4 23 14.5 Allianz Financial Services 6.9 5 130.8 Amazon.C Technology 14.7 44 60.6 • • • • • • • • • • • • • • • Heinz Consumer Packaged Goods 5.6 2 4.4 Hermes Automotive & Luxury 9.3 20 4.5 • • • • • • • • • • • • • • • Wells Fargo Financial Services 9 -14 91.2 Zara Other 9.4 11 13.5 a.  Prepare a crosstabulation of the data on Industry (rows) and Brand Value ( billions). Use classes of , , , , , and  for Brand Value ( billions). If an amount box does not require an entry, leave it blank or enter "0".   Brand Value ( billions)   Industry Total Automotive & Luxury               Consumer Packaged Goods               Financial Services               Other               Technology               Total               b.  Prepare a frequency distribution for the data on Industry. Industry Frequency Automotive & Luxury   Consumer Packaged Goods   Financial Services   Other   Technology   Total   c.  Prepare a frequency distribution for the data on Brand Value ( billions). Brand Value ( billions) Frequency             Total   d.  How has the crosstabulation helped in preparing the frequency distributions in parts (b) and (c)? The right margin shows the  - Select your answer - frequency distribution for the brand value frequency distribution for the fund type variable Item 56   and the bottom margin shows the  - Select your answer - frequency distribution for the brand value frequency distribution for the fund type variable Item 57  . e.  What conclusions can you draw about the type of industry and the brand value? - Select your answer - Lower Higher Item 58   brand values are associated with the  - Select your answer - other technology financial services Item 59   brands.

Hide Feedback

Correct

The Daytona 500 is a 500-mile automobile race held annually at the Daytona International Speedway in Daytona Beach, Florida. The following crosstabulation shows the automobile make by average speed of the 25 winners from 1988 to 2012 (The World Almanac). Average Speed in Miles per Hour Make 130-139.9 140-149.9 150-159.9 160-169.9 170-179.9 Total Buick 1 1 Chevrolet 3 5 4 3 1 16 Dodge 2 2 Ford 2 1 2 1 6 Total 6 8 6 4 1 25 a.  Compute the row percentages. If required, round your answers to two decimal places. If your answer is "zero" enter "0". Average Speed Make 130-139.9 140-149.9 150-159.9 160-169.9 170-179.9 Total Buick             Chevrolet             Dodge             Ford             b.  What percentage of winners driving a Chevrolet won with an average speed of at least  miles per hour?    c.  Compute the column percentages. If required, round your answers to two decimal places. If your answer is "zero" enter "0". Average Speed Make 130-139.9 140-149.9 150-159.9 160-169.9 170-179.9 Buick           Chevrolet           Dodge           Ford           Total           d.  What percentage of winning average speeds  miles per hour were Chevrolets?

Hide Feedback

Correct

Right

"Check My Work" Clicked: 1 Time

·        Hint(s)

 

·        Check My Work

Consider a sample with data values of , , , , and . Round your answers to the nearest whole number. Compute the mean.   Compute the median.

Hide Feedback

Correct

There is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive-care units (eICUs) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these eICUs is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of  patient waiting times until their first video interaction with the eICU staff. Click on the datafile logo to reference the data. Wait Time (minutes) 40 46 49 44 45 45 38 51 42 46 41 45 49 41 48 42 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 40 37 39 43 a. Compute the mean waiting time for these  patients (to  decimals).   minutes b. Compute the median waiting time (to  decimals).   minutes c. Compute the mode (to  decimal).   minutes d.  Compute the first and third quartiles (to  decimals). First Quartile:   minutes Third Quartile:   minutes

Hide Feedback

Partially Correct

The following table shows the total return and the number of funds for four categories of mutual funds. Excel File: data03-17.xlsx Type of Fund Number of Funds Total Return (%) Domestic Equity 9,191 4.65 International Equity 2,621 18.15 Specialty Stock 1,419 11.36 Hybrid 2,900 6.75 a. Using the number of funds as weights, compute the weighted average total return for these mutual funds. (to 2 decimals)    b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return in part (a)? Discuss. What else might be used for weights? (i) Using "number of funds" as weights will only be a good approximation if the amount invested in various funds is approximately equal. The amount invested in each fund could be used for weights. (ii) Using "number of funds" as weights results in a good approximation regardless of the amount invested in various funds. There is no need to use a different weight. (iii) Using "number of funds" as weights will only be a good approximation if the amount invested in various funds is approximately equal. There is no other option that could be used for weights. (iv) Using "number of funds" as weights results in a good approximation regardless of the amount invested in various funds. The total amount invested in all funds could be used for weights. Choose the correct option. Choice (i) - Select your answer - Choice (i) Choice (ii) Choice (iii) Choice (iv) Item 2   c. Suppose you invested  in this group of mutual funds and diversified the investment by placing  in Domestic Equity funds,  in International Equity funds,  in Specialty Stock funds, and  in Hybrid funds. What is the expected return on the portfolio? (to 2 decimals)

Hide Feedback

Correct

Annual revenue for Corning Supplies grew by  in ;  in ;  in ;  in ; and  in . What is the mean growth annual rate over this period? Round your answer to four decimal places. Do not round intermediate calculations.

Hide Feedback

Correct

Consider a sample with data values of , , , , and . Compute the range.   Compute the interquartile range (to  decimal).

Hide Feedback

Correct

The following table displays round-trip flight prices from  major U.S. cities to Atlanta and Salt Lake City. Click on the datafile logo to reference the data. Round-Trip Cost ($) Departure City Atlanta Salt Lake City Cincinnati 340.1 570.1 New York 321.6 354.6 Chicago 291.6 465.6 Denver 339.6 219.6 Los Angeles 359.6 311.6 Seattle 384.6 297.6 Detroit 309.6 471.6 Philadelphia 415.6 618.4 Washington, D.C. 293.6 513.6 Miami 249.6 523.2 San Francisco 539.6 381.6 Las Vegas 455.6 159.6 Phoenix 359.6 267.6 Dallas 333.9 458.6 a. Compute the mean price for a round-trip flight into Atlanta and the mean price for a round-trip flight into Salt Lake City. Round your answers to two decimal places. Atlanta    Salt Lake City    Is Atlanta less expensive to fly into than Salt Lake City? If so, what could explain this difference? (i) It is approximately the same to fly into Atlanta as Salt Lake City. This is expected because each cost represents a round-trip flight. (ii) It is more to fly into Atlanta than Salt Lake City. One explanation for this difference could the distance from each of the departure cities to Atlanta versus Salt Lake City. (iii) It is less expensive to fly into Atlanta than Salt Lake City. One explanation for this difference could the distance from each of the departure cities to Atlanta versus Salt Lake City. Choose the correct option. Choice (iii) - Select your answer - Choice (i) Choice (ii) Choice (iii) Item 3   b. Compute the range (round your answers to one decimal place), variance, and standard deviation (round your answers to two decimal places) for the two samples.   Atlanta Salt Lake City Range       Variance     Standard Deviation       What does this information tell you about the prices for flights into these two cities? The prices for round-trip flights into Atlanta are less variable than prices for round-trip flights into Salt Lake City. - Select your answer - The prices for round-trip flights into Atlanta are more variable than prices for round-trip flights into Salt Lake City. The prices for round-trip flights into Atlanta are less variable than prices for round-trip flights into Salt Lake City. Item 10

Hide Feedback

Correct

The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A sample of air quality index values for Pomona provided the following data: , , , , , , , , and . a. Compute the range and interquartile range. Range   Interquartile range   b. Compute the sample variance and sample standard deviation (to  decimals). Sample variance   Sample standard deviation   c. A sample of air quality index readings for Anaheim provided a sample mean of , a sample variance of , and a sample standard deviation of . What comparisons can you make between the air quality in Pomona and that in Anaheim on the basis of these descriptive statistics? The air quality variability is greater in Anaheim. - Select your answer - The air quality is much better in Pomona. The air quality is much better in Anaheim. The air quality variability is greater in Pomona. The air quality variability is greater in Anaheim. Item 5

Hide Feedback

Correct

According to the  Consumer Expenditure Survey, Americans spend an average of  on cellular phone service annually (U.S. Bureau of Labor Statistics website). Suppose that we wish to determine if there are differences in cellular phone expenditures by age group. Therefore, samples of  consumers were selected for three age groups (, ,  and older). The annual expenditure for each person in the sample is provided in the table below. Click on the datafile logo to reference the data. 18 – 34 35 – 44 45 and Older 1,355 969 1,135 115 434 956 1,456 1,792 400 2,045 1,500 1,374 1,621 1,277 1,244 994 1,056 825 1,937 1,922 763 1,200 1,350 1,192 1,567 1,586 1,305 1,390 1,415 1,510 a. Compute the mean, variance, and standard deviation for each of these three samples. Round your answers to one decimal place.   Mean       Variance       Standard Deviation       b. What observations can be made based on these data? The age group that spends the least amount on cellular phone service is  45 and older - Select your answer - 18 – 34 35 – 44 45 and older Item 10   and the age group that spends the biggest amount on cellular phone service is  18 – 34 - Select your answer - 18 – 34 35 – 44 45 and older Item 11  .

Hide Feedback

Correct

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during  and  are as follows: 2018 Season:   75 79 80 78 76 74 76 78 2019 Season:   72 71 76 78 86 81 72 80 a. Use the mean (to the nearest whole number) and standard deviation (to  decimals) to evaluate the golfer's performance over the two-year period. Mean   Standard deviation   Mean   Standard deviation   b. What is the primary difference in performance between  and ? The variation in scores was higher in 2019. - Select your answer - The mean score was higher in 2018. The mean score was higher in 2019. The variation in scores was higher in 2018. The variation in scores was higher in 2019. Item 5   What improvement, if any, can be seen in the  scores? In 2019, three of the eight scores were better (lower) than the best score of 2018. - Select your answer - In 2019, three of the eight scores were better (lower) than the best score of 2018. There is no improvement to be seen in the 2019 scores. The golfer's consistency increased in 2019. Item 6

Hide Feedback

Correct

Consider a sample with data values of , , , , and . Compute the -score for each of the five observations (to  decimals). Enter negative values as negative numbers. Observed value -score

Hide Feedback

Correct

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is  (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of . Use the empirical rule to answer the following. a. What percentage of GMAT scores are  or higher (to  decimal)?    b. What percentage of GMAT scores are  or higher (to  decimal)?    c. What percentage of GMAT scores are between  and  (to  decimal)?    d. What percentage of GMAT scores are between  and  (to  decimal)?

Hide Feedback

Correct

Each year Money magazine publishes a list of "Best Places to Live in the United States." These listings are based on affordability, educational performance, convenience, safety, and livability. The below table shows the median household income of Money magazine’s top city in each U.S. state for  (Money magazine website). Click on the datafile logo to reference the data. City Median Household Income ($) City Median Household Income ($) Pelham, AL 66,772 Bozeman, MT 49,303 Juneau, AK 84,101 Papillion, NE 79,131 Paradise Valley, AZ 138,192 Sparks, NV 54,230 Fayetteville, AR 40,835 Nashua, NH 66,872 Monterey Park, CA 57,419 North Arlington, NJ 73,885 Lone Tree, CO 116,761 Rio Rancho, NM 58,982 Manchester, CT 64,828 Valley Stream, NY 88,693 Hockessin, DE 115,124 Concord, NC 54,579 St. Augustine, FL 47,748 Dickinson, ND 71,866 Vinings, GA 73,103 Wooster, OH 43,054 Kapaa, HI 62,546 Mustang, OK 66,714 Meridian, ID 62,899 Beaverton, OR 58,785 Schaumburg, IL 73,824 Lower Merion, PA  117,438 Fishers, IN 87,043 Warwick, RI 63,414 Council Bluffs, IA 46,844 Mauldin, SC 57,480 Lenexa, KS 76,505 Rapid City, SD 47,788 Georgetown, KY 58,709 Franklin, TN 82,334 Bossier City, LA 47,051 Allen, TX 104,524 South Portland, ME 56,472 Orem, UT 54,515 Rockville, MD 100,158 Colchester, VT 69,181 Waltham, MA 75,106 Reston, VA 112,722 Farmington Hills, MI 71,154 Mercer Island, WA 128,484 Woodbury, MN 99,657 Morgantown, WV 38,060 Olive Branch, MS 62,958 New Berlin, WI 74,983 St. Peters, MO 57,728 Cheyenne, WY 56,593 a. Compute the mean and median for these household income data. Mean $    (to  decimals) Median $    (to  decimals) b. Compare the mean and median values for these data. What does this indicate about the distribution of household income data? The mean household income is  larger - Select your answer - larger less Item 3   than the median household income. This indicates that the distribution of household income is  positively - Select your answer - positively negatively Item 4   skewed. c. Compute the range and standard deviation for these household income data. Range $    (to the nearest whole number) Standard deviation $    (to  decimals) d. Compute the first and third quartiles for these household income data. First Quartile $    (to  decimals) Third Quartile $    (to  decimals) e. How many values would be considered outliers are in these data? If an amount is zero, enter "0".   value(s) would be considered outlier(s). What does this suggest about the data? Since there are outliers above the upper limit of the data, this is most likely why the mean is larger than the median. - Select your answer - Since there are outliers above the upper limit of the data, this is most likely why the mean is larger than the median. Since there are outliers below the lower limit of the data, this is most likely why the mean is smaller than the median. Since there are no outliers, this is most likely why the mean is approximately equal to the median. Item 10

Hide Feedback

Correct

The New York Times reported that Apple has unveiled a new iPad marketed specifically to school districts for use by students (The New York Times website). The -inch iPads will have faster processors and a cheaper price point in an effort to take market share away from Google Chromebooks in public school districts. Suppose that the following data represent the percentages of students currently using Apple iPads for a sample of  U.S. public school districts. Click on the datafile logo to reference the data. 15 22 12 21 26 18 42 29 64 20 15 22 18 24 27 24 26 19 a. Compute the mean and median percentage of students currently using Apple iPads. Mean   (to  decimals) Median   (to the nearest whole number) b. Compute the first and third quartiles for these data. First quartile   (to  decimals) Third quartile   (to  decimals) c. Compute the range and interquartile range for these data. Range   (to the nearest whole number) Interquartile range   (to  decimals) d. Compute the variance and standard deviation for these data. Variance   (to  decimals) Standard deviation   (to  decimals) e. Are there any outliers in these data? Enter the number of outliers. If an amount is zero, enter "0".   value(s) would be considered outlier(s). f. Based on your calculated values, what can we say about the percentage of students using iPads in public school districts? Relative to the mean, there are some school districts where many more students are using iPads. iPad use is very high for all school districts. Relative to the mean, there are some school districts where many more students are using iPads. Relative to the mean, there are some school districts where much fewer students are using iPads. Relative to the mean, iPad use is similar for all school districts. iPad use is very low for all school districts. Item 10

Hide Feedback

Correct

Consider a sample with data values of , , , , , , , and . Which boxplot most accurately represents these data? 1. 2. 3. Boxplot #2 - Select your answer - Boxplot #1 Boxplot #2 Boxplot #3 Item 1

Hide Feedback

Correct

Fortune magazine's list of the world's most admired companies for  is provided in the data contained in the file AdmiredCompanies (Fortune magazine website). The data in the column labeled "Return" shows the one-year total return () for the top-ranked  companies. For the same time period the S&P average return was . Click on the datafile logo to reference the data. a. Compute the median return for the top-ranked  companies (to  decimal).    b. What percentage of the top-ranked  companies had a one-year return greater than the S&P average return (to the nearest percent)?    c. Develop the five-number summary for the data. If required, round your answers to two decimals places. If required, enter negative values as negative numbers. Return Minimum   First Quartile   Median   Third Quartile   Maximum   d. Are there any outliers? Yes - Select your answer - Yes No Item 8   e. Select a boxplot for the one-year total return. 1. 2. 3. 4. Boxplot 1 - Select your answer - Boxplot 1 Boxplot 2 Boxplot 3 Boxplot 4 Item 9

Hide Feedback

Correct

A random sample of  colleges from Kiplinger's list of the best values in private college provided the data shown in the file BestPrivateColleges (Kiplinger website). The variable Admit Rate () shows the percentage of students that applied to the college and were admitted, and the variable -yr Grad. Rate () shows the percentage of students that were admitted and graduated in four years. Click on the datafile logo to reference the data. a. Select a scatter diagram with Admit Rate () as the independent variable. 1. 2. 3. 4. Scatter diagram 1 - Select your answer - Scatter diagram 1 Scatter diagram 2 Scatter diagram 3 Scatter diagram 4 Item 1   What does the scatter diagram indicate about the relationship between the two variables? Negative linear relationship - Select your answer - Skewed relationship Positive linear relationship Negative linear relationship Item 2   b. Compute the sample correlation coefficient. Round your answer to two decimal places and enter negative value as negative number, if necessary.   What does the value of the sample correlation coefficient indicate about the relationship between the Admit Rate () and the -yr Grad. Rate ()? Negative linear relationship - Select your answer - Skewed relationship Positive linear relationship Negative linear relationship Item 4

Hide Feedback

Correct

Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of travel times recorded for each method are shown. Times are in minutes. Public Transportation: 28 29 32 37 33 25 29 32 41 34 Automobile: 29 31 33 32 34 30 31 32 35 33 a. Compute the sample mean time to get to work for each method (to the nearest whole number). Public transportation   minutes Automobile   minutes b. Compute the sample standard deviation for each method (to  decimals). Public transportation   minutes Automobile   minutes c. On the basis of your results from parts (a) and (b), which method of transportation should be preferred? Explain. Automobile, because the variability is lower. - Select your answer - Automobile, because the mean time is lower. Automobile, because the variability is lower. Public transportation, because the mean time is lower. Public transportation, because the variability is lower. Item 5   d. Select a boxplot for each method. A. B. C. D. A - Select your answer - A B C D Item 6   Does a comparison of the boxplots support your conclusion in part (c)? Yes, the boxplots support the conclusion by showing the difference in variation between both methods of transportation. - Select your answer - Yes, the boxplots support the conclusion by showing the difference in means between both methods of transportation. Yes, the boxplots support the conclusion by showing the difference in variation between both methods of transportation. No, the boxplots do not support the conclusion. Item 7

Hide Feedback

Correct

The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided. Days to Maturity Dollar Value ($ millions) 17 30 15 15 8 15 6 10 2 30 Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds. Round your answer to  decimal places.    days

Hide Feedback

Correct

 

A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data: Click on the datafile logo to reference the data. Driving Speed 30 50 40 55 30 25 60 25 50 55 Fuel Efficiency 28 25 25 23 30 32 21 35 26 25 a.  Which of the following is a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis? 1. 2. 3. 4. - Select your answer -1234Item 1  b.  Comment on any apparent relationship between these two variables. For midsized cars, lower driving speeds seem to yield - Select your answer -higherlowerItem 2  miles per gallon.

Hide Feedback

Correct

The Northwest regional manager of an outdoor equipment retailer conducted a study to determine how managers at three store locations are using their time. A summary of the results are shown in the following table. Click on the datafile logo to reference the data. Percentage of Manager’s Work Week Spent On Store Location Meetings Reports Customers Idle Bend 18 11 52 19 Portland 52 11 24 13 Seattle 32 17 37 14 a. Which of the following shows a correct stacked bar chart with store location on the horizontal axis and percentage of time spent on each task on the vertical axis? 1. 2. 3. 4. - Select your answer -1234Item 1  b. Which of the following shows a correct side-by-side bar chart with store location on the horizontal axis and side-by-side bars of the percentage of time spent on each task? 1. 2. 3. 4. - Select your answer -1234Item 2  c. Which type of bar chart (stacked or side-by-side) do you prefer for these data? Why? The - Select your answer -stackedside-by-sideItem 3  bar chart better conveys how a store managers' overall time is split into each of the four categories.

Hide Feedback

Correct

Consider the following frequency distribution. Excel File: data02-13.xlsx Class Frequency 10 - 19 10 20 - 29 14 30 - 39 17 40 - 49 7 50 - 59 2 Which of the following histograms accurately represents the data? 1. 2. 3. - Select your answer -Histogram #1Histogram #2Histogram #3None of the above histogramsItem 1

Hide Feedback

Correct

Consider the following data on two categorical variables. The first variable, , can take on values , , , or . The second variable, , can take on values  or . The following table gives the frequency with which each combination occurs. Excel File: data02-37.xlsx y x I II A 143 857 B 200 800 C 321 679 D 420 580 a.  Select a correct side-by-side bar chart with  on the horizontal axis. 1. 2. 3. - Select your answer -123None of these three graphsItem 1  b.  Comment on the relationship between  and . As  goes from  to  the frequency for  - Select your answer -increasesdecreasesItem 2 and the frequency of  - Select your answer -increasesdecreasesItem 3 .

Hide Feedback

Correct