question archive 4) In a population, it has been claimed that admission counselors spend at least 20 minutes studying the resumes of each applicant to their school
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4) In a population, it has been claimed that admission counselors spend at least 20 minutes studying the resumes of each applicant to their school. Time is normally distributed with a standard deviation of 4 minutes. A group of 12 admission counselors have been selected. a. (7) We want to test the claim that these counsellors spend at least 20 minutes, on average, if the sample of 12 counsellors spend 17 minutes, on average. (Notice I have not given you any level of significance.) Generate the p- value of the test. Ho: Ha: Test Statistic: Calculate the p-value b . (2) If you are NOW given a = 0.05, what would you decide based on just looking at the a and the p-value you generated in (a)? 1. Reject Ho, the p-value is more than a. 1i. Reject Ho, the p-value is less than a. iii. Do not reject Ho, the p-value is more than a. IV. Do not reject Ho, the p-value is less than a. V. Depends on the hypothesis we want to test. c. (2) Write out your decision selected in (b). We can conclude that 1. We have strong evidence that the true mean is at least 20 minutes 11. We have strong evidence that the true mean is at not least 20 minutes iii. We have some evidence that the true mean could be at least 20 minutes iv. We have some evidence that the true mean is not at least 20 minutes. V . None of the above