Given two dependent random samples with the following results:
Population 1 | 62 | 60 | 71 | 67 | 63 | 64 | 80 | 65 |
---|---|---|---|---|---|---|---|---|
Population 2 | 64 | 54 | 79 | 62 | 72 | 72 | 73 | 75 |
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=0.1 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 three decimal places.
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. Reject or Fail to reject Null Hypothesis.
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