Question

please show working out. Thank you

a college has put in place a 4 week course of lunchtime exercise breaks for its staff to see if its employees’ job satisfaction can be improved. To measure the effectiveness of this program, 10 randomly selected staff in the program were surveyed about their feelings at work, once at the start of the program and again after the course. Higher scores indicate higher satisfaction.

The job satisfaction index results for this group were:

Staff	1	2	3	4	5	6	7	8	9	10
Before	34	28	29	45	26	27	24	15	15	27
After	33	31	36	46	32	34	28	26	19	37

Use a test of significance at 5% level to decide if the program has improved the employee’s job satisfaction on average. Show your graphical evidence, if needed, and clear conclusion.

- please sketch the curve as well. thank you

Answer 1

Computational Table:

Staff	Before	After	D = After - Before	D^2
1	34	33	-1	1
2	28	31	3	9
3	29	36	7	49
4	45	46	1	1
5	26	32	6	36
6	27	34	7	49
7	24	28	4	16
8	15	26	11	121
9	15	19	4	16
10	27	37	10	100
Total			52	398

Given:

= 5% = 0.05, n = 10

Hypothesis:

Where,  

Difference (D) = After - Before

Calculation:

Test statistic:

Degrees of Freedom = n-1 = 10-1 = 9

Critical value:

                 …………..Using t table

Conclusion:

t > Critical value, i.e 4.37 > 1.8331, That is Reject Ho at 5% level of significance

Therefore, program has improved the employee’s job satisfaction on average.