Question

Given two dependent random samples with the following results: Population 1 56 66 69 66 60...

Given two dependent random samples with the following results:

Population 1 56 66 69 66 60 59 56 54
Population 2 65 64 74 64 63 64 54 60

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=0.02α=0.02 for the test. Assume that both populations are normally distributed.

Math   Statistics-And-Probability   
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Answer #1

since test statistic does not falls in rejection region we fail to reject null hypothesis
we do not have have sufficient evidence to conclude that  there is a significant difference between the two population means
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