Homework Help is Here – Start Your Trial Now!
Math
Statistics
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 20 Model A washing machines is $211. Assume the population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? O A. The mean repair cost for Model A is greater than Model B. O B. The mean repair costs for Model A and Model B are different. O C. The mean repair cost for Model A is less than Model B. D. The mean repair costs for Model A and Model B are equal. Let u, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O A. Ho: H1 H2 VE. Họ: H1 = H2 O D. Ho: H1 +2 OF. Ho: H1 >H2 Ha: H1 = 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are -2.58, 2.58 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) VA z< - 2.58 , z> 2.58 B. z<

You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 20 Model A washing machines is $211. Assume the population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? O A. The mean repair cost for Model A is greater than Model B. O B. The mean repair costs for Model A and Model B are different. O C. The mean repair cost for Model A is less than Model B. D. The mean repair costs for Model A and Model B are equal. Let u, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O A. Ho: H1 H2 VE. Họ: H1 = H2 O D. Ho: H1 +2 OF. Ho: H1 >H2 Ha: H1 = 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are -2.58, 2.58 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) VA z< - 2.58 , z> 2.58 B. z<

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Topic Video
Question
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 20 Model A washing machines is $211. Assume the population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A. The mean repair cost for Model A is greater than Model B. B. The mean repair costs for Model A and Model B are different. C. The mean repair cost for Model A is less than Model B. D. The mean repair costs for Model A and Model B are equal. Let µ, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are H, and H,? A. Ho: H1 <H2 Ha: H1Z H2 B. Ho: H1 SH2 Ha: H1 > H2 C. Ho: H1 2 H2 Ha: H1 <H2 E. Ho: H1 = H2 D. Ho: H1 # H2 Hai H1 =H2 O F. Ho: H1> H2 Ha: H1 SH2 Ha: H1 # H2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are - 2.58, 2.58 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. z< - 2.58 , z> 2.58 В. z<
Transcribed Image Text:You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 20 Model A washing machines is $211. Assume the population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A. The mean repair cost for Model A is greater than Model B. B. The mean repair costs for Model A and Model B are different. C. The mean repair cost for Model A is less than Model B. D. The mean repair costs for Model A and Model B are equal. Let µ, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are H, and H,? A. Ho: H1 <H2 Ha: H1Z H2 B. Ho: H1 SH2 Ha: H1 > H2 C. Ho: H1 2 H2 Ha: H1 <H2 E. Ho: H1 = H2 D. Ho: H1 # H2 Hai H1 =H2 O F. Ho: H1> H2 Ha: H1 SH2 Ha: H1 # H2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are - 2.58, 2.58 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. z< - 2.58 , z> 2.58 В. z<
What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) z< - 2.58 , z> 2.58 В. Zく z> (c) Find the standardized test statistic z for u, - p2. - 1.56 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject Ho: The standardized test statistic is in a rejection region. B. Reject Ho. The standardized test statistic is not in a rejection region. C. Fail to reject Ho. The standardized test statistic is in a rejection region. D. Fail to reject Ho. The standardized test statistic is not in a rejection region. (e) Interpret the decision in the context of the original claim. At the % significance level, there is evidence to the claim that the mean repair costs for Model A are the mean repair costs for Model B.
Transcribed Image Text:What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) z< - 2.58 , z> 2.58 В. Zく z> (c) Find the standardized test statistic z for u, - p2. - 1.56 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject Ho: The standardized test statistic is in a rejection region. B. Reject Ho. The standardized test statistic is not in a rejection region. C. Fail to reject Ho. The standardized test statistic is in a rejection region. D. Fail to reject Ho. The standardized test statistic is not in a rejection region. (e) Interpret the decision in the context of the original claim. At the % significance level, there is evidence to the claim that the mean repair costs for Model A are the mean repair costs for Model B.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS