An investigation of the effectiveness of a training program

An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-training customer survey. Seven customers were randomly selected and completed both surveys. The results follow.

For a 0.16 significance level, what is the critical value?

Solution

This is testing of hypothesis between two pairs before training and after training.

WE set up null and alternate hypothesis as follows:

H0: mu1 = mu2

Ha: mu1 not equals mu2

Two sided test.

Let us find mean and variance for the two pairs

Observed difference (Sample 1 - Sample 2): -2
Standard Deviation of Difference : 1.1518
df =12

T-Value -1.7364

For 0.16 level, critical value is not available.