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Ashford BUS308 Week 2 Chapter 9 Assignment
SCORE 100%Question 1: Exercise 09.03 (DevelopingNull and Alternative Hypotheses)A production line operation isdesigned to fill cartons with laundry detergent to a mean weight of ounces. Asample of cartons is periodically selected and weighed to determine whetherunderfilling or overfilling is occurring. If the sample data lead to a conclusionof underfilling or overfilling, the production line will be shut down andadjusted to obtain proper filling. a.Formulate the null and alternative hypotheses that will help in decidingwhether to shut down and adjust the production line.
b. Comment on the conclusion when cannot be rejected. Is there evidencethat the production line is not operating properly?
c. Comment on the conclusion when can be rejected. Can we conclude thatoverfilling or underfilling exists?
Question 2 Exercise 09.07 (Type I andType II Errors)Carpetland salespersons average perweek in sales. Steve Contois, the firm's vice president, proposes acompensation plan with new selling incentives. Steve hopes that the results ofa trial selling period will enable him to conclude that the compensation planincreases 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 errorwould occur if it was concluded that the new compensation plan provides apopulation mean weekly sales when in fact it does not.What are the consequences of makingthis error?c.What is the Type II error in this situation? In this situation, a Type II errorwould occur if it was concluded that the new compensation plan provides apopulation mean weekly sales when in fact it does not.What are the consequences of makingthis error?
Question 3 Exercise 09.19 (PopulationMean: Sigma Known)According to the IRS, taxpayerscalling the IRS in waited minutes on average for an IRS telephone assister toanswer. Do callers who use the IRS help line early in the day have a shorterwait? Suppose a sample of callers who placed their calls to the IRS in thefirst minutes that the line is open during the day have a mean waiting time ofminutes before an IRS telephone assister answers. Based on data from pastyears, you decide that it is reasonable to assume that the standard deviationof waiting times is minutes. Using these sample results, can you conclude thatthe waiting time for calls placed during the first minutes the IRS help line isopen each day is significantly less than the overall mean waiting time ofminutes? Use .State the hypotheses.
: What is the p-value (to decimals)?
Can you conclude that callers whouse the IRS help-line early in the day have a shorter wait?
Question 4 Exercise 09.29 (PopulationMean: Sigma Unknown)On its municipal website, the cityof Tulsa states that the rate it charges per CCF of residential water is . Howdo the residential water rates of other U.S. public utilities compare toTulsa's rate? The file ResidentialWater contains the rate per CCF of residentialwater for randomly selected U.S. cities.Click on the datafile logo toreference the data. a. Formulate hypotheses that can be used to determine whetherthe population mean rate per CCF of residential water charged by U.S. public utilitiesdiffers from the rate charged by Tulsa.Choose the correct null hypothesis:1. : 2. : 3. : Choose the correct alternativehypothesis: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 yourconclusion?the null hypothesis. The mean rate per CCF of residentialwater throughout the U.S. significantly from the rate per CCFof residential water in Tulsa.d. Repeat the preceding hypothesis test using the criticalvalue approach. The critical value(s) is(are) .= (todecimals), the null hypothesis.
Question 5 Exercise 09.43 (PopulationProportion)Eagle Outfitters is a chain ofstores specializing in outdoor apparel and camping gear. They are considering apromotion that involves mailing discount coupons to all its credit cardcustomers. This promotion will be considered a success if more than of thosereceiving 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 toreference the data. a.Develop hypotheses that can be used to test whether the population proportionof those who will use the coupons is sufficient to go national.:
: b.The file Eagle contains the sample data. Develop a point estimate of thepopulation proportion (to decimals).
c.Use to conduct your hypothesis test. Should Eagle go national with thepromotion?
Question 6 Exercise 09.51 (PopulationMean: Sigma Known)At Western University the historicalmean of scholarship examination scores for freshman applications is . Ahistorical population standard deviation is assumed known. Each year, theassistant dean uses a sample of applications to determine whether the meanexamination score for the new freshman applications has changed.a.State the hypotheses.
:
: b.What is the confidence interval estimate of the population mean examinationscore if a sample of applications provided a sample mean of (to the nearestwhole number)?
(, )c.Use the confidence interval to conduct a hypothesis test. Using , can the assistantdean conclude that the mean examination score for the new freshman applicationshas changed?
d.What is the -value (to decimals)? (Use Table 1 from Appendix B.)
Question 7 Exercise 09.57 (PopulationMean: Sigma Unknown)According to the NationalAssociation 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, inshowed a sample mean of weeks with a sample standard deviation of weeks. Conducta hypothesis test to determine whether the number of weeks until a house soldin Greene County differed from the national average in . Round your answer tofour decimal places. p-value = Use for the level of significance,and state your conclusion. 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. 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. 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. 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.
ANSWER WILL BE SENT BY EMAIL.
b. Comment on the conclusion when cannot be rejected. Is there evidencethat the production line is not operating properly?
c. Comment on the conclusion when can be rejected. Can we conclude thatoverfilling or underfilling exists?
Question 2 Exercise 09.07 (Type I andType II Errors)Carpetland salespersons average perweek in sales. Steve Contois, the firm's vice president, proposes acompensation plan with new selling incentives. Steve hopes that the results ofa trial selling period will enable him to conclude that the compensation planincreases 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 errorwould occur if it was concluded that the new compensation plan provides apopulation mean weekly sales when in fact it does not.What are the consequences of makingthis error?c.What is the Type II error in this situation? In this situation, a Type II errorwould occur if it was concluded that the new compensation plan provides apopulation mean weekly sales when in fact it does not.What are the consequences of makingthis error?
Question 3 Exercise 09.19 (PopulationMean: Sigma Known)According to the IRS, taxpayerscalling the IRS in waited minutes on average for an IRS telephone assister toanswer. Do callers who use the IRS help line early in the day have a shorterwait? Suppose a sample of callers who placed their calls to the IRS in thefirst minutes that the line is open during the day have a mean waiting time ofminutes before an IRS telephone assister answers. Based on data from pastyears, you decide that it is reasonable to assume that the standard deviationof waiting times is minutes. Using these sample results, can you conclude thatthe waiting time for calls placed during the first minutes the IRS help line isopen each day is significantly less than the overall mean waiting time ofminutes? Use .State the hypotheses.
: What is the p-value (to decimals)?
Can you conclude that callers whouse the IRS help-line early in the day have a shorter wait?
Question 4 Exercise 09.29 (PopulationMean: Sigma Unknown)On its municipal website, the cityof Tulsa states that the rate it charges per CCF of residential water is . Howdo the residential water rates of other U.S. public utilities compare toTulsa's rate? The file ResidentialWater contains the rate per CCF of residentialwater for randomly selected U.S. cities.Click on the datafile logo toreference the data. a. Formulate hypotheses that can be used to determine whetherthe population mean rate per CCF of residential water charged by U.S. public utilitiesdiffers from the rate charged by Tulsa.Choose the correct null hypothesis:1. : 2. : 3. : Choose the correct alternativehypothesis: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 yourconclusion?the null hypothesis. The mean rate per CCF of residentialwater throughout the U.S. significantly from the rate per CCFof residential water in Tulsa.d. Repeat the preceding hypothesis test using the criticalvalue approach. The critical value(s) is(are) .= (todecimals), the null hypothesis.
Question 5 Exercise 09.43 (PopulationProportion)Eagle Outfitters is a chain ofstores specializing in outdoor apparel and camping gear. They are considering apromotion that involves mailing discount coupons to all its credit cardcustomers. This promotion will be considered a success if more than of thosereceiving 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 toreference the data. a.Develop hypotheses that can be used to test whether the population proportionof those who will use the coupons is sufficient to go national.:
: b.The file Eagle contains the sample data. Develop a point estimate of thepopulation proportion (to decimals).
c.Use to conduct your hypothesis test. Should Eagle go national with thepromotion?
Question 6 Exercise 09.51 (PopulationMean: Sigma Known)At Western University the historicalmean of scholarship examination scores for freshman applications is . Ahistorical population standard deviation is assumed known. Each year, theassistant dean uses a sample of applications to determine whether the meanexamination score for the new freshman applications has changed.a.State the hypotheses.
:
: b.What is the confidence interval estimate of the population mean examinationscore if a sample of applications provided a sample mean of (to the nearestwhole number)?
(, )c.Use the confidence interval to conduct a hypothesis test. Using , can the assistantdean conclude that the mean examination score for the new freshman applicationshas changed?
d.What is the -value (to decimals)? (Use Table 1 from Appendix B.)
Question 7 Exercise 09.57 (PopulationMean: Sigma Unknown)According to the NationalAssociation 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, inshowed a sample mean of weeks with a sample standard deviation of weeks. Conducta hypothesis test to determine whether the number of weeks until a house soldin Greene County differed from the national average in . Round your answer tofour decimal places. p-value = Use for the level of significance,and state your conclusion. 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. 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. 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. 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.
ANSWER WILL BE SENT BY EMAIL.
