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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

Group one works from home group two works at work

Hypothesis: working from home is more productive than working from work

How do you calculate standard deviation for each group?

How do you calculate the test statistic?

How do you calculate the degrees of freedom?

how do you calculate the P Value?

What is the alpha level?

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.

The alpha level is 0.05.

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