Discuss the below:
In this problem set you will get some practice performing hypothesis tests for two samples. If you use Statdisk to perform any portion of these analyses, please include the results, label them, and refer to them accordingly in your interpretations.
As part of an industrial training program, some trainees are instructed by Method A, which is straight teaching-machine instruction, and some are instructed by method B, which also involves the personal attention of an instructor. Random samples of size 10 are taken from large groups of trainees instructed by each of these two methods and the scores which they obtained in an appropriate achievement test are given below. The test scores follow a normal distribution. The goal of the study is to determine whether there is enough evidence to support that Method B is significantly more effective using both hypothesis testing and a confidence interval.
|
Method A
|
71
|
75
|
65
|
69
|
73
|
66
|
68
|
71
|
74
|
68
|
|
Method B
|
72
|
77
|
84
|
78
|
69
|
70
|
77
|
73
|
65
|
75
|
1. What are the null and alternate hypotheses for this test? Why?
2. What is the critical value for this hypothesis test using a 5% significance level?
3. Calculate the test statistic and the p-value using a 5% significance level.
4. State the decision for this test.
5. Determine the confidence interval level that would be associated with this hypothesis test at the 5% significance level. Explain why the confidence interval level is appropriate for this hypothesis test at the 5% significance level.