Question

In: Statistics and Probability

Population 1 59 57 77 60 59 64 72 67 Population 2 61 53 84 53...

Population 1 59 57 77 60 59 64 72 67
Population 2 61 53 84 53 69 74 64 73

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

1.State the null and alternative hypotheses for the test

2. Find the value of the standard deviation of the paired differences.

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

4.Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.

5.Make the decision for the hypothesis test.

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