Question

A restaurant wants to test the quality of service before training and after training. Their objective is to determine if the training is effective in improving their service standards. The staff were evaluated on a scale of 1 to 10 with1 being very bad and 10 being very good. Using an appropriate test determine if the training was effective

in achieving its objective. The following table displays the results of the study:

Participant	1	2	3	4	5	6
After training	10	9	9	7	9	8
Before training	8	8	6	8	6	5
di

iii)

Assuming the difference in indices is normally distributed, state the distribution that should be used for the test statistic for this hypothesis testing problem.

iv)

Calculate the value of the test statistic.

v)

What is the rejection value corresponding to the 0.05 level of significance? Does the training improve service standards at this level of significance?

vi)

Set up a 95% confidence interval estimate for the mean of the difference in the indices.

Answer 1