Question

Given two dependent random samples with the following results:Population 1 7978646665776760Population 2 8368696071826063Can it be concluded, from this data, that there is a significant difference between the two population means?Let d=(Population 1 entry)â(Population 2 entry). Use a significance level of α=0.05 for the test. Assume that both populations are normally distributed.Step 1 of 5:State the null and alternative hypotheses for the testStep 2 of 5:Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places.Step 4 of 5:Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.Step 5 of 5:Make the decision for the hypothesis test.

Answer 1

The value of standard deviation is 8 .

What is hypothesis testing ?

Hypothesis testing helps us support a claim. within the same sense, we have a tendency to should grasp sample knowledge to estimate claims with relevance a population parameter like the mean. additionally, we have a tendency to should grasp the importance level or sort I error.

Main body:

Counting data we have:

∑xi = -9

Now, we can identify important values:

n=8

mean = ∑xi /n

x - bar = -9/8

x- bar =−1.12

standard deviation :

s = √∑(xi - x - bar) / (n-1)

s =√448.875/7

s = 8 approximately

Hence value of of standard deviation is 8 .

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