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5 (16 points): One-Sample Hypothesis Test for the Mean (using the t-distribution) You work for the Government Accountability Office (GAO) and are testing the claim

5 (16 points): One-Sample Hypothesis Test for the Mean (using the t-distribution) You work for the Government Accountability Office (GAO) and are testing the claim by the Internal Revenue Service (IRS) that the average telephone wait time for those calling the IRS during peak tax season is less than 4 minutes. You randomly sample n = 20 calls and record their times (in minutes). 7.02 6.59 5.44 3.21 3.58 3.98 4.56 10.51 4.22 4.17 4.08 4.67 4.89 5.57 6.32 6.09 2.10 1.39 2.94 5.71 a. (5 points) Formulate the null and alternative hypotheses. Label the claim. b. (7 points) Test the claim at the 5% level of significance. State the decision rule. c. (4 points) State a conclusion about the claim in terms of the real-world significance of the

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