Question

# Given two dependent random samples with the following results: Population 1 70 69 60 60 59...

Given two dependent random samples with the following results:

 Population 1 Population 2 70 69 60 60 59 54 62 68 79 59 66 52 66 59 55 70

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.

Copy Data

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.

Step 3 of 5:

Compute the value of the test statistic.

Step 4 of 5

Determine the decision rule for rejecting the null hypothesis Ho. Round to three decimals

Step 5 of 5

Make the decision for the hypothesis test

To Test :-

H0 :-

H1 :-

Test Statistic :-

t = -0.1857

Test Criteria :-
Reject null hypothesis if

Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 0.1857 ) = 0.8579
Reject null hypothesis if P value < level of significance
P - value = 0.8579 > 0.02 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is not sufficient evidence to support the claim that there is a difference between the two population mean.

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