Question

You are trying to see if employees are more content working from home than going into the workplace. You ask a group of employees how content they are with their job while working from the office and then later you ask the same question (how content they are with their job) while they are working from home. The results are in the table below.  What is your conclusion?

	Feb	June	D	D2
	19	22	3	9
	22	20	-2	4
	14	18	4	16
	15	18	3	9
	18	23	5	25
	15	14	-1	1
	17	21	4	16
	20	24	4	16
	13	18	5	25
	21	23	2	4
SUM	174	201	27	125
St Dev	3.0984	3.1073	2.4060	8.5016

Answer 1

June	Feb	Difference
22	19	3
20	22	-2
18	14	4
18	15	3
23	18	5
14	15	-1
21	17	4
24	20	4
18	13	5
23	21	2

∑d = 27  

∑d² = 125  

n = 10  

Mean, x̅d = Ʃd/n = 27/10 = 2.7

Standard deviation, sd = √[(Ʃd² - (Ʃd)²/n)/(n-1)] = √[(125-(27)²/10)/(10-1)] = 2.4060

Null and Alternative hypothesis:

Ho : µd = 0 ; H1 : µd > 0

Test statistic:

t = (x̅d)/(sd/√n) = (2.7)/(2.406/√10) = 3.5487

df = n-1 = 9

p-value = T.DIST.RT(3.5487, 9) = 0.0031

Decision:

p-value < 0.05, Reject the null hypothesis

Conclusion:

There is enough evidence to conclude that employees are more content working from home than going into the workplace.