Question

Employee's productivity Group 1 (Home) Group 2 (OnSide Work) Week 1 138 104 Week 2 102...

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

Homework Answers

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.

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