assignment-15-stat-2023-spring-2017-due-wednesday-march

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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?
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