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 ModelA 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 H, and H. 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,? OA Ho: H1 <2 OC. Họ: H22 O B. Ho: H1 SH2 Hgi H> P2 VE. Họ: H1 =P2 O D. Ho: H *H2 OF. Ho: H1> H2 (b) Find the critical value(s) and identify the rejection region(s).

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
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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
B. z<
C. z>
(c) Find the standardized test statistic z for u, - µ2.
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 insufficient evidence to reject the claim that the mean repair costs for Model A are
equal to
the mean repair costs for Model B.
Transcribed Image Text: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 B. z< C. z> (c) Find the standardized test statistic z for u, - µ2. 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 insufficient evidence to reject the claim that the mean repair costs for Model A are equal to the mean repair costs for Model B.
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 ModelB 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 H, 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
Hai 412 H2
B. Ho: H1 SH2
Ha: H1> H2
Ho: H12 H2
Ha: H1 <H2
D. Ho: H1 # H2
Hai 41 =H2
E. Ho: H1 = H2
Hai H1 # H2
O F. Ho: H1> H2
Ha: H1 SH2
(b) Find the critical value(s) and identify the rejection region(s).
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 ModelB 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 H, 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 Hai 412 H2 B. Ho: H1 SH2 Ha: H1> H2 Ho: H12 H2 Ha: H1 <H2 D. Ho: H1 # H2 Hai 41 =H2 E. Ho: H1 = H2 Hai H1 # H2 O F. Ho: H1> H2 Ha: H1 SH2 (b) Find the critical value(s) and identify the rejection region(s).
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