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

 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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