Skip to main content

Week 3 Assg (7, 8, 9 all answers)

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is  or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim.

a. Which form of the hypotheses should be used to test the manager's claim?
  
  

b. When  cannot be rejected, can we conclude that the manager's claim is wrong?
 

c. When  can be rejected, can we conclude that the manager's claim is wrong?
 


Correct 

A production line operation is designed to fill cartons with laundry detergent to a mean weight of  ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling.

a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
  
  

b. Comment on the conclusion when  cannot be rejected. Is there evidence that the production line is not operating properly?
 

c. Comment on the conclusion when  can be rejected. Can we conclude that overfilling or underfilling exists?
 


Correct

Carpetland salespersons average  per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson.

a. Develop the appropriate null and alternative hypotheses.
  
  

b. What is the Type I error in this situation?

In this situation, a Type I error would occur if it was concluded that the new compensation plan provides a population mean weekly sales   when in fact it does not.

What are the consequences of making this error?

 

c. What is the Type II error in this situation?

In this situation, a Type II error would occur if it was concluded that the new compensation plan provides a population mean weekly sales   when in fact it does not.

What are the consequences of making this error?

 

Correct

onsider the following hypothesis test:

A sample of  is used and the population standard deviation is . Use the critical value approach to state your conclusion for each of the following sample results. Use .

Note: In the following questions, if the correct option is "Reject " select "option 1" . If "Do not reject " is correct, then select "option 2".

a.  

 

b.  

 

c.  

 


Correct

TextRequest reports that adults  years old send and receive  texts every day. Suppose we take a sample of  year olds to see if their mean number of daily texts differs from the mean for  year olds reported by TextRequest.

a. Select the null hypothesis we should use to test whether the population mean daily number of texts for  year olds differs from the population daily mean number of texts for  year olds.

1. 

2. 

3. 

 

Select the alternative hypothesis we should use to test whether the population mean daily number of texts for  year olds differs from the population daily mean number of texts for  year olds.

1. 

2. 

3. 

 

b. Suppose a sample of thirty  year olds showed a sample mean of  texts per day. Assume a population standard deviation of  texts per day and compute the -value. Round your answer to four decimal places.

 

c. With  as the level of significance, what is your conclusion?

  . We   conclude that the population mean daily texts for  year olds differs significantly from the population mean of  daily texts for  year olds.

d. Repeat the preceding hypothesis test using the critical value approach.

The critical value(s) is(are)  .

Can it be concluded that the population mean differs from ?

 


Correct

According to the IRS, taxpayers calling the IRS in  waited  minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of  callers who placed their calls to the IRS in the first  minutes that the line is open during the day have a mean waiting time of  minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is  minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first  minutes the IRS help line is open each day is significantly less than the overall mean waiting time of  minutes? Use .

State the hypotheses.
  
  

What is the -value (to  decimals)?
 

Can you conclude that callers who use the IRS help-line early in the day have a shorter wait?
 


Correct

Consider the following hypothesis test:

A sample of  provided a sample mean  and a sample standard deviation .

a. Compute the value of the test statistic (to  decimals).

 

b. Use the  distribution table (Table 2 in Appendix B) to compute a range for the -value.
The -value is  

c. At , what is your conclusion?

 .

d. What is the rejection rule using the critical value? (Use .)

Reject  if  is   the critical value of   (to  decimals).

Can you conclude that the population mean is greater than ?
 


Correct

Consider the following hypothesis test:

A sample of  is used. Identify the -value and state your conclusion for each of the following sample results. Use .

a. With  and , the -value is  
Can it be concluded that the population mean is less than  ?
 

b. With  and , the -value is  
Can it be concluded that the population mean is less than ?
 

c. With  and , the -value is  
Can it be concluded that the population mean is less than ?
 


Correct

On its municipal website, the city of Tulsa states that the rate it charges per  CCF of residential water is . How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The file ResidentialWater contains the rate per  CCF of residential water for  randomly selected U.S. cities.

Click on the datafile logo to reference the data.

a. Formulate hypotheses that can be used to determine whether the population mean rate per  CCF of residential water charged by U.S. public utilities differs from the  rate charged by Tulsa.

Choose the correct null hypothesis:

1. 

2. 

3. 

 

Choose the correct alternative hypothesis:

1. 

2. 

3. 

 

b. What is the -value for your hypothesis test in part (a)? Round your answer to four decimal places.

 

c. At , can your null hypothesis be rejected? What is your conclusion?

  the null hypothesis. The mean rate per  CCF of residential water throughout the U.S.   significantly from the rate per  CCF of residential water in Tulsa.

d. Repeat the preceding hypothesis test using the critical value approach.

The critical value(s) is(are)  .

 =   (to  decimals),   the null hypothesis.


Correct

In , RAND Corporation researchers found that  of all individuals ages  to  are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement.

a. Develop appropriate hypotheses such that rejection of  will support the conclusion that the proportion of those who are adequately prepared financially for retirement is smaller for people in the  age group who did not complete high school than it is for the population of the  age group.

  

  

b. In a random sample of  people from the  age group who did not complete high school,  were not prepared financially for retirement. What is the -value for your hypothesis test (to  decimals)? If your answer is zero, enter "0".

 

c. At , what is your conclusion?

We   that the percentage of  year old individuals who are adequately prepared financially for retirement is smaller for those who did not complete high school.


Correct

Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all its credit card customers. This promotion will be considered a success if more than  of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of  credit card customers.

Click on the datafile logo to reference the data.

a. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national.

  
  

b. The file Eagle contains the sample data. Develop a point estimate of the population proportion (to  decimals).
 

c. Use  to conduct your hypothesis test. Should Eagle go national with the promotion?
 


Correct

At Western University the historical mean of scholarship examination scores for freshman applications is . A historical population standard deviation  is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.

a. State the hypotheses.
  
  

b. What is the  confidence interval estimate of the population mean examination score if a sample of  applications provided a sample mean of  (to the nearest whole number)?
(  ,  )

c. Use the confidence interval to conduct a hypothesis test. Using , can the assistant dean conclude that the mean examination score for the new freshman applications has changed?
 

d. What is the -value (to  decimals)? (Use Table 1 from Appendix B.)
 


Correct

According to the National Association of Realtors, it took an average of three weeks to sell a home in . Data for the sale of  randomly selected homes sold in Greene County, Ohio, in  showed a sample mean of  weeks with a sample standard deviation of  weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in . Round your answer to four decimal places.

-value =  

Use  for the level of significance, and state your conclusion.

  1. Reject . There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

  2. Reject . There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

  3. Do not reject . There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

  4. Do not reject . There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

Choose the correct option.

 


Correct

Use two-step procedure to select a simple random sample of  EAI employees.

Click on the datafile logo to reference the data.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Let there are n managers in the list. Use the excel function =Rand() to generate random number for each of the manager in the file, in the first blank column after the data provided in the file. Then sort the list of managers according to random numbers. For that select the column of random number and sort smallest to largest. It will ask you to expand the selection, click yes. List of managers will be sorted according to random numbers. Then for a simple random sample of 30 EAI employees select first 30 managers and for a simple random sample of 50 EAI employees select first 50 managers.
Correct

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from  to , with a score of  indicating a great wine,  indicating an outstanding wine,  indicating a very good wine,  indicating a good wine,  indicating a mediocre wine, and below  indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in  follow:

Excel File: data07-11.xlsx

879186827291
607780798396

a. Develop a point estimate of mean wine score for this pinot noir (to  decimals).

 

b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to  decimals).

 


Correct

In , the Pew Internet & American Life Project asked  teens aged  to  several questions about their attitudes toward social media. The results showed that  say social media makes them feel more connected to what is going on in their friends' lives;  say social media helps them interact with a more diverse group of people; and  feel pressure to post content that will get a lot of likes and comments.

Round your answers to four decimal places.

a. Develop a point estimate of the proportion of teens aged  to  who say social media makes them feel more connected to what is going on in their friends' lives.

 

b. Develop a point estimate of the proportion of teens aged  to  who say social media helps them interact with a more diverse group of people.

 

c. Develop a point estimate of the proportion of teens aged  to  who feel pressure to post content that will get a lot of likes and comments.

 


Correct

Suppose a random sample of size  is selected from a population with . Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

a. The population size is infinite (to  decimals).

 

b. The population size is  (to  decimals).

 

c. The population size is  (to  decimals).

 

d. The population size is  (to  decimals).

 


Correct

The CPA Practice Advisor reports that the mean preparation fee for  federal income tax returns was . Use this price as the population mean and assume the population standard deviation of preparation fees is . Use z-table.

Round your answers to four decimal places.

a. What is the probability that the mean price for a sample of  federal income tax returns is within  of the population mean?

 

b. What is the probability that the mean price for a sample of  federal income tax returns is within  of the population mean?

 

c. What is the probability that the mean price for a sample of  federal income tax returns is within  of the population mean?

 

d. Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a  probability that the sample mean is within  of the population mean?

 


Correct

A random sample of size  is selected from a population with .

a. What is the expected value of  (to  decimals)?

 

b. What is the standard error of  (to  decimals)?

 

c. Show the sampling distribution of .

   (to  decimals)

   (to  decimals)

d. What does the sampling distribution of  show?

 


Correct

In  the Better Business Bureau settled  of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is , the same as the overall proportion of complaints settled in . Use the z-table.

a. Suppose you select a sample of  complaints involving new car dealers. Show the sampling distribution of .

   (to  decimals)

   (to  decimals)

b. Based upon a sample of  complaints, what is the probability that the sample proportion will be within  of the population proportion (to  decimals)?

probability   

c. Suppose you select a sample of  complaints involving new car dealers. Show the sampling distribution of .

   (to  decimals)

   (to  decimals)

d. Based upon the larger sample of  complaints, what is the probability that the sample proportion will be within  of the population proportion (to  decimals)?

probability   

e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?

The probability of the sample proportion being within  of the population mean is increased by   (to  decimals). There is a gain in precision by   the sample size.


Correct

The Food Marketing Institute shows that  of households spend more than  per week on groceries. Assume the population proportion is  and a simple random sample of  households will be selected from the population. Use the z-table.

a. Show the sampling distribution of , the sample proportion of households spending more than  per week on groceries.

   (to  decimals)

   (to  decimals)

b. What is the probability that the sample proportion will be within  of the population proportion (to  decimals)?
 

c. Answer part (b) for a sample of  households (to  decimals).
 


Correct

A simple random sample of  items resulted in a sample mean of . The population standard deviation is . Round your answers to two decimal places.

a. What is the standard error of the mean, ?
 

b. At  confidence, what is the margin of error?
 


Correct

A simple random sample of  items resulted in a sample mean of . The population standard deviation is .

a. Compute the  confidence interval for the population mean. Round your answers to one decimal place.
(  )

b. Assume that the same sample mean was obtained from a sample of  items. Provide a  confidence interval for the population mean. Round your answers to two decimal places.
(  )

c. What is the effect of a larger sample size on the interval estimate?

Larger sample provides a   margin of error.


Correct

For a t distribution with  degrees of freedom, find the area, or probability, in each region.

a. To the right of 

  (to 3 decimals)

b. To the left of 

  (to 2 decimals)

c. To the left of 

  (to 2 decimals)

d. To the right of 

  (to 2 decimals)

e. Between  and 

  (to 2 decimals)

f. Between  and 

  (to 2 decimals)


Correct

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of  business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of  business travelers follow.

3789101010999985
67798109876879
5391010998986108
47310898101088  

Develop a  confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

(  )


Correct

How large a sample should be selected to provide a  confidence interval with a margin of error of ? Assume that the population standard deviation is . Round your answer to next whole number.

 


Correct

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between  and . Assume that a  confidence interval estimate of the population mean annual starting salary is desired.

a. What is the planning value for the population standard deviation?

  

b. How large a sample should be taken if the desired margin of error is ? Round your answers to next whole number.
 

?
 

?
 

c. Would you recommend trying to obtain the  margin of error? Explain.
 


Correct

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number.

a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of  seconds, what sample size should be used? Assume  confidence.
 

b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of  minute, what sample size should be used? Assume  confidence.
 


Correct

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a  confidence interval with a margin of error of ? Round your answer up to the next whole number.

 


Correct

Fewer young people are driving. In  of people under  years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to  in . Suppose these results are based on a random sample of  people under  years old who were eligible to have a driver's license in  and again in .

a. At  confidence, what is the margin of error and the interval estimate of the number of eligible people under  years old who had a driver's license in ?

Margin of error    (to four decimal places)

Interval estimate    to   (to four decimal places)

b. At  confidence, what is the margin of error and the interval estimate of the number of eligible people under  years old who had a driver's license in ?

Margin of error    (to four decimal places)

Interval estimate    to   (to four decimal places)

c. Is the margin of error the same in parts (a) and (b)?

 

Why, or why not?

 


Correct

The Centers for Disease Control and Prevention (CDC) defines a healthy sleep duration to be at least seven hours per day. The CDC reports that the percentage of people who report a healthy sleep duration varies by marital status. The CDC also reports that in  of those who are married report a healthy sleep duration;  of those who have never been married report a healthy sleep duration; and  of those who are divorced, widowed, or separated report a healthy sleep duration. The file SleepHabits contains sample data on the sleeping habits of people who have never been married that are consistent with the CDC’s findings. Use these data to answer the following questions. Click on the datafile logo to reference the data.

a. Develop a point estimate and a  confidence interval for the proportion of those who have never been married who report a healthy sleep duration.

Point estimate  (to  decimals)
Confidence interval  to   (to  decimals)

b. Develop a point estimate and a  confidence interval for the mean number of hours of sleep for those who have never been married.

Point estimate  (to  decimals)
Confidence interval  to   (to  decimals)

c.  For those who have never been married, estimate the number of hours of sleep per day for those who report a healthy sleep duration (to  decimals).

 


Correct

The National Center for Education Statistics reported that  of college students work to pay for tuition and living expenses. Assume that a sample of  college students was used in the study.

a. Provide a  confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to  decimals)

    

b. Provide a  confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to  decimals)

    

c. What happens to the margin of error as the confidence is increased from  to ?

The margin of error becomes  

Correct

























































































































































































































































Comments

Popular posts from this blog

IS5203 Type 2 Post Assessment and Final Quiz

  Carlos has just created a new subnet for the finance department. He needs to be able to allow the employees in finance to retrieve files from the sales server, which is located in another subnet. Which of the following OSI model layers would it be necessary to categorize the device into? a. Layer 4 b. Layer 6 c. Layer 2 d. Layer 3 All of the cubicles in a company's office have cables that run up to the ceiling and across to an IDF. Inside the IDF, they connect directly to the latest generation switch available from the networking equipment vendor that they have chosen. Which of the following describes the physical topology most likely in use? a. mesh

GE5103-2 Project Management [Aug 23 Syllabus]

    Some of the advantages of using time boxes and cycles in project coordination efforts include creating urgency, measuring progress, and allowing for predictable measurements. A)        True 2.    Even though most project managers are not contract specialists, they need to understand the process well enough to coordinate with the team. For the current assignment, you are looking at a short-term and small effort with a contractor of just a few hours without significant clarity. Which of the following would be the most applicable contract to use in this situation? A)        Time and materials 3. The project you are working on has had modifications to the plan from the start and even how the project is run. Project governance covers all of the 3 following except: A)        Naming The project manager 4. Of the following, which is most likely a trigger condition defined early in the project? A) Alerting Governance board if 10 percent over schedule 5. Of the following options, which stand

GE5163 Week8 ( Final Exam ) Quize's

  A process or product that is insensitive to normal variation is referred to as being Select one: a. in specification b. capable c. robust d. out of control Feedback Your answer is correct. A completed failure mode and effects analysis (FMEA) results in the following assessment rating.      Occurrence = 4      Severity = 8      Detection = 10 What is the risk priority number (RPN) for this FMEA? Select one: a. 42 b. 22 c. 320 d. 120 Feedback Your answer is correct. In a visual inspection situation, one of the best ways to minimize deterioration of the quality level is to: Select one: a. have a program of frequent eye exams. b. retrain the inspector frequently. c. add variety to the task. d. have a standard to compare against as an element of the operation. Feedback Your answer is correct. Which of the following elements is least necessary to a good corrective action feedback report? Select one: a. What caused the failure b. Who caused the failure c. What correction has been made d. Wh