STAT 2023 Assignment 15 due Wednesday, March 29, 2017 1. In a hypothesis test if the research question is, “Do the data indicate that the mean is different from a specific value?” then is the hypothesis test a two-tail, left-tail, or right-tail test? 2. In a hypothesis test if the research question is, “Do the data indicate that the mean is less than a specific value?” then is the hypothesis test a two-tail, left-tail, or right-tail test? 3. In a hypothesis test if the research question is, “Do the data indicate that the mean is greater than a specific value?” then is the hypothesis test a two-tail, lefttail, or right-tail test? 4. What is the rejection point (the number that cuts off the rejection region) for the significance level of .10 for a right-tail Z-based hypothesis test? 5. What is the rejection point (the number that cuts off the rejection region) for the significance level of .05 for a right-tail Z-based hypothesis test? 6. What is the rejection point (the number that cuts off the rejection region) for the significance level of .01 for a right-tail Z-based hypothesis test? 7. What is the rejection point (the number that cuts off the rejection region) for the significance level of .10 for a left-tail Z-based hypothesis test? 8. What is the rejection point (the number that cuts off the rejection region) for the significance level of .05 for a left-tail Z-based hypothesis test? 9. What is the rejection point (the number that cuts off the rejection region) for the significance level of .01 for a left-tail Z-based hypothesis test? 10. What is the rejection point (the number that cuts off the rejection region) for the significance level of .10 for a two-tail Z-based hypothesis test? 11. What is the rejection point (the number that cuts off the rejection region) for the significance level of .05 for a two-tail Z-based hypothesis test? 12. What is the rejection point (the number that cuts off the rejection region) for the significance level of .01 for a two-tail Z-based hypothesis test? 13. What is the p-value of a left-tail hypothesis test based on a large sample if the test statistic value is -2.03? 14. What is the p-value of a two-tail hypothesis test based on a large sample if the test statistic value is -2.03? 15. If a z test statistic value is 1.58 in a right-tail hypothesis test where the researcher is attempting to prove that the mean is greater than some specific number, what is the p-value of the test? 16. If a z test statistic value is 1.58 in a two-tail hypothesis test where the researcher is attempting to prove that the mean is different from a specific number, what is the p-value of the test? 17. If the value of the z test statistic is -1.85 in a hypothesis test on the population mean, but the researcher was interested in showing that the mean is not equal to some specific number and had stated that in the alternative hypothesis, then what is the p-value in this situation? 18. If the value of the z test statistic is -1.85 in a hypothesis test on the population mean, but the researcher was interested in showing that the mean is less than some specific number and had stated that in the alternative hypothesis, then what is the p-value in this situation? 19. Assume the research question is, “Do the data indicate the mean differs from 120?” What is the value of the Z test statistic if the population standard deviation is known to be 125 and the sample mean based on a sample of 625 observations is 135? 20. College students carry more credit card debt on average than they did one decade ago. A consumer credit organization is studying the debt of college students. They collected credit information from 900 college students across the US. This sample yielded a mean debt of $2700. The population standard deviation is $300. What is the numerical value of the test statistic to test whether the mean amount of credit card debt for college students is $2745? 21. With a test statistic of -4.5 in the above problem will the hypothesis that the mean is equal to $2745 be rejected at the 5% significance level?