**Educational Text on Hypothesis Testing**You want to purchase a washing machine, and a salesperson claims that the mean repair costs for Model A and Model B are equal. After researching, you find that the mean repair cost for 20 Model A washing machines is $211, with a population standard deviation of $20. For 21 Model B machines, the mean repair cost is $222, with a population standard deviation of $25. With a significance level (α) of 0.01, can you reject the salesperson's claim? Assume random, independent samples with normally distributed populations. Follow parts (a) through (e).**(a) Identify the Claim and State $ H_0 $ and $ H_a $**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. (Selected)Let $ \mu_1 $ be the mean repair cost for Model A and $ \mu_2 $ be the mean repair cost for Model B. What are $ H_0 $ and $ H_a $?- **A.** $ H_0: \mu_1 < \mu_2 $ $ H_a: \mu_1 \geq \mu_2 $ - **B.** $ H_0: \mu_1 \leq \mu_2 $ $ H_a: \mu_1 > \mu_2 $ - **C.** $ H_0: \mu_1 \neq \mu_2 $ $ H_a: \mu_1 < \mu_2 $ - **D.** $ H_0: \mu_1 \neq \mu_2 $ $ H_a: \mu_1 = \mu_2 $ - **E.** $ H_0: \mu_1 = \mu_2 $ (Selected) $ H_a: \mu_1 \neq \mu_2 $ - **F.** $ H_0: \mu_1 > \mu_ ### Statistical Analysis: Hypothesis Testing**Rejection Region(s) Selection:**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 < \square $ - **C.** $ z > \square $---**c) Find the standardized test statistic $ z $ for $ \mu_1 - \mu_2 $:**\[ z = -1.56 \]*(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 $ H_0 $. The standardized test statistic is in a rejection region. - **B.** Reject $ H_0 $. The standardized test statistic is not in a rejection region. - **C.** Fail to reject $ H_0 $. The standardized test statistic is in a rejection region.- **D.** Fail to reject $ H_0 $. The standardized test statistic is not in a rejection region. ✓---**e) Interpret the decision in the context of the original claim:**At the $\square \%$ significance level, there is $\square$ evidence to $\bigtriangledown$ the claim that the mean repair costs for Model A are $\bigtriangledown$ the mean repair costs for Model B.---This tutorial guides the reader through the process of hypothesis testing, specifically focusing on determining rejection regions and interpreting standardized test statistics in relation to null and alternative hypotheses.

Name: **Educational Text on Hypothesis Testing**You want to purchase a wash
Uploaded: 2024-03-20T07:07:12.000Z
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Description: **Educational Text on Hypothesis Testing**You want to purchase a washing machine, and a salesperson claims that the mean repair costs for Model A and Model B are equal. After researching, you find that the mean repair cost for 20 Model A washing mac