Given two dependent random samples with the following results:
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.
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 :-
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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