Given two dependent random samples with the following results: Population 1 51 5

Question

Given two dependent random samples with the following results: Population 1 51 57 65 68 53 58 75 72 Population 2 54 51 67 60 58 61 66 79 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 ? = 0.1 for the test. Assume that both populations are normally distributed. Copy Data step 2 of S: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place. 1 Point Keypad Tables Answer(How to Enter)

Explanation / Answer

Ans:

Test statistic:

t=(0.375-0)/(6.3/sqrt(8))

t=0.169

p-value=TDIST(0.169,7,2)=0.8706

As,p-value>0.1,we fail to reject the null hypothesis.There is not sufficient evidence to conclude that there is significant difference between two population means.

population 1 population 2 d 1 51 54 -3 2 57 51 6 3 65 67 -2 4 68 60 8 5 53 58 -5 6 58 61 -3 7 75 66 9 8 72 79 -7 mean(d)= 0.375 std. dev= 6.3

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