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 24 Model A washing machines is $212. Assume the population standard deviation is $17. The mean n cost of 27 Model B washing machines is $230. Assume the population standard deviation is $24. 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 H₂ What is the claim? O A. The mean repair costs for Model A and Model B are equal. B. The mean repair cost for Model A is less than Model B. O C. The mean repair cost for Model A is greater than Model B. O D. The mean repair costs for Model A and Model B are different. Let μ, be the mean repair cost for Model A and let ₂ be the mean repair cost for Model B. What are H, and H₂? OC. H₂: H₁ H₂ OB. H: ₁₂ Hai My khô OA. H₂: H₁ H₂ Hy. Họ sẽ khôn H₂H₁ H₂ OF. H₂H₁ H₂ OE. H₂H₁ ₂ OD. H₂: H₁ H₂ H₂H₁ H₂ H₂:1₁ #1₂ H₂: H₁ H₂

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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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 24 Model A washing machines is $212. Assume the population standard deviation is $17. The mean repair
cost of 27 Model B washing machines is $230. Assume the population standard deviation is $24. 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 costs for Model A and Model B are equal.
OB. The mean repair cost for Model A is less than Model B.
O C. The mean repair cost for Model A is greater than Model B.
O D. The mean repair costs for Model A and Model B are different.
Let μ, be the mean repair cost for Model A and let μ₂ be the mean repair cost for Model B. What are H, and H₂?
oc Ho. Hi số Hz
OB. Ho: H₁ H₂
OA. Ho: H₁ H₂
H₂H₁ H₂
H₂: H₁ H₂
H₂: H₁ H₂
OF Ho. Hà t
OE. H₂H₁
H₂
OD. Hồ. Hi #U2
H₂: H₁
H₂
H₂: H₁ H₂
H₂H₁ H₂
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 24 Model A washing machines is $212. Assume the population standard deviation is $17. The mean repair cost of 27 Model B washing machines is $230. Assume the population standard deviation is $24. 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 costs for Model A and Model B are equal. OB. The mean repair cost for Model A is less than Model B. O C. The mean repair cost for Model A is greater than Model B. O D. The mean repair costs for Model A and Model B are different. Let μ, be the mean repair cost for Model A and let μ₂ be the mean repair cost for Model B. What are H, and H₂? oc Ho. Hi số Hz OB. Ho: H₁ H₂ OA. Ho: H₁ H₂ H₂H₁ H₂ H₂: H₁ H₂ H₂: H₁ H₂ OF Ho. Hà t OE. H₂H₁ H₂ OD. Hồ. Hi #U2 H₂: H₁ H₂ H₂: H₁ H₂ H₂H₁ H₂
(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
O A. Reject Ho. The standardized test statistic is not in a rejection region.
O B. Fail to reject Ho. The standardized test statistic is not in a rejection region.
ⒸC. Reject Ho. The standardized test statistic is in a rejection region.
O D. Fail to reject Ho. The standardized test statistic is 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:(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Reject Ho. The standardized test statistic is not in a rejection region. O B. Fail to reject Ho. The standardized test statistic is not in a rejection region. ⒸC. Reject Ho. The standardized test statistic is in a rejection region. O D. Fail to reject Ho. The standardized test statistic is 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
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