Question

answer

A department chair wanted to know if students gained knowledge during completion of a Masters program.  All 8 of the students were given a pre test prior to beginning the program, and then given the post test after completing the last course.

Select the correct statistical test; perform the test; report the results according to the handbook guidelines; explain what the results mean to the professor.

Here is the data:

Pre Test	Post Test
92	86
90	87
89	85
82	90
88	79
92	90
100	92
91	84

Answer 1

here we will use paired t-test because observation are made on same students at a different time

so using minitab>stat>basic stat>paired t

we have

Paired T-Test and CI: Pre Test, Post Test

Paired T for Pre Test - Post Test

N Mean StDev SE Mean
Pre Test 8 90.50 5.01 1.77
Post Test 8 86.63 4.14 1.46
Difference 8 3.88 5.38 1.90

95% CI for mean difference: (-0.63, 8.38)
T-Test of mean difference = 0 (vs ≠ 0): T-Value = 2.04 P-Value = 0.081

since p value is greater than 0.05 so we conclude that  studentsdo not gained knowledge during completion of a Masters program