Question

Employee's productivity
	Group 1 (Home)	Group 2 (OnSide Work)
Week 1	138	104
Week 2	102	94
Week 3	142	107
Week 4	120	110
Week 5	101	83
Are employees more productive working from home or working onsite?
	Sample size (n)	Sample size (n)
	Mean	Mean
	Meadian	Meadian
	Mode	Mode
	Max	Max
	Range	Range
	Standard Deviation	Standard Deviation
Null Hypothesis
Alternative Hypothesis
Test Statistic
Degrees of freedom
P value

Answer 1

	Group 1 (Home)	Group 2 (OnSide Work)
Sample size	5	5
Mean	120.60	99.60
Standard deviation	19.31	11.06
Mode	#N/A	#N/A
Median	120.00	104.00
Range	41	27

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

Group 1 (Home)	Group 2 (OnSide Work)
120.60	99.60	mean
19.31	11.06	std. dev.
5	5	n
	8	df
	21.000	difference (Group 1 (Home) - Group 2 (OnSide Work))
	247.550	pooled variance
	15.734	pooled std. dev.
	9.951	standard error of difference
	0	hypothesized difference
	2.110	t
	.0678	p-value (two-tailed)

The test statistic is 2.110.

The df is 8.

The p-value is 0.0678.

Since the p-value (0.0678) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that µ₁ ≠ µ₂.