Question

A large corporation is interested in determining whether a relationship exists between the commuting time of its employees and the level of stress-related problems observed on the job. A study of 113 employees reveals as follows:

Stress Level

Commuting Time High Moderate Low Total

Less than 15 mins 9 5 18 32

In between 15-45 mins 17 8 28 53

More than 45 mins 18 (???) 3 (3.96) 7 28

Total 44 16 53 113

a) Which graph should be used for the study? Give the reason for your choice.

b) Find the expected frequency of the cell indicated by "???" ( Round to two decimal places)

c) Interpret in the context, the expected frequency you obtained in part (b)

Answer 1

We have given,

	Stress Level
Commuting Time	High	Moderate	Low	Total
< 15 mins	9	5	18	32
15 - 45 mins	17	8	28	53
> 45 mins	18(???)	3(3.96)	7	28
Total	44	16	53	113

a) Block diagram should be used for this study. Because the data is quantitative and categorical.

b) Expected frequency (E) is calculated by using below formula

E = (Corresponding row total of ??? x Corresponding column total of ???) / sample size = 44 x 28 / 113 = 10.90

c) Interpretation: If there is no association between commuting time of employees and the level of stress observed on the job, then we expect 10.90 high level of stress related problem for those who are commuting > 45 mins.