Question

# Given two dependent random samples with the following results: Population 1 54 83 68 66 62...

Given two dependent random samples with the following results:

 Population 1 Population 2 54 83 68 66 62 60 70 62 59 74 76 64 64 69 67 64

Can it be concluded, from this data, that there is a significant difference between the two population means?

Let d=(Population 1 entry)−(Population 2 entry) . Use a significance level of α=0.01 for the test. Assume that both populations are normally distributed.

Step 1 of 5:

State the null and alternative hypotheses for the test.

Step 2 of 5:

Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.

Step 5 of 5:

Make the decision for the hypothesis test.

Step 1 of 5:

 null Hypothesis: μd = 0 alternate Hypothesis: μd ≠ 0

Step 2 of 5: value of the standard deviation of the paired differences =6.0

Step 3 of 5: value of the test statistic =-0.707 (try -0.704 if this comes wrong)

Step 4 of 5: : Decision rule:Reject HO if t <-3.499 or t>3.499

Step 5 of 5: fail to reject Ho

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