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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

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

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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