1)The hypothesis test

H0: d 0

H1: d < 0 is to be carried out for a random sample of 26. d=1.9 and the test statistic is found to be t=0.781301377082765. What is the standard deviation for the differences in the sample?

sd = ________________________

2) Suppose that you are to conduct the following hypothesis test for matched data:

H0: d = 0

H1: d 0

For a sample of 15, it was found that d=3 and sd=3.45. Determine each of the following:

The value of the test statistic: _____________________________

For = 0.005, the final conclusion is

A. There is enough evidence to say that d=0 B. There is not enough evidence to say that d0. C. There is enough evidence to say that d0 D. There is not enough evidence to say that d=0

3)Suppose that we are to conduct the following hypothesis test:

H0: = 660

H1: 660

Suppose that you also know that for n=25, x=759.072 and s=240. Take =0.005. Determine each of the following:

A. The value of the test statistic:

_____________________________________

B. The p-value is ___________________

C. Your decision for the hypothesis test: A. Do Not Reject H1. B. Do Not Reject H0. C. Reject H1. D. Reject H0.

4) Suppose that we are to conduct the following hypothesis test:

H0: 830

H1: > 830

Suppose that you also know that for n=25, x=914.728 and s=170. Take =0.1. Determine each of the following:

A. The value of the test statistic:

_________________________________

B. The p-value is _______________

C. Your decision for the hypothesis test: A. Do Not Reject H1. B. Reject H1. C. Do Not Reject H0. D. Reject H0.

5)A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%):

Person Initial Test Post-Test

1 75 90

2 61 76

3 75 70

4 76 82

5 76 76

6 78 91

7 60 58

8 76 77

Is there evidence, at an =0.1 level of significance, to conclude that the prep course improves scores? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.)

A. The value of the standardized test statistic: _______________________

B. Your decision for the hypothesis test: Multiple Choice A. Reject H0. B. Reject H1. C. Do Not Reject H0. D. Do Not Reject H1.