Question

# Group 1 (Home) Group 2 (OnSide Work) Week 1 138 104 Week 2 102 94 Week...

 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

What is the standard deviation for each group? Show all steps

What are all steps to calculate the test statistic? Show all steps

what are all the steps to calculate the degrees of freedom? Show all steps

What is the P Value? Show all steps

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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