Population 1 30 The data for a random sample of 8 paired observations are Pair s

Question

Population 1 30 The data for a random sample of 8 paired observations are Pair shown in the table to the right. a. What are the appropriate null and alternative hypotheses 2 to test whether the mean for population 2 is larger than that3 for population 1? b. Conduct the test identified in part a using =0.05. c. Find a 95% confidence interval for Interpret this result d. What assumptions are necessary to ensure the validity of this analysis? Population 2 32 26 50 39 23 23 34 65 25 24 O A. O B b. Identify the rejection region for testing the hypotheses from part a. Select the correct choice below and fill in the answer box to complete your choice Round to three decimal places as needed.) A, t

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Pop 1 and Pop 2
H0 : D = 0
HA : D < 0
Hypothesis test results:

Hence,

t = -4.689

Difference Mean Std. Err. DF T-Stat P-value Pop 1 - Pop 2 -3.125 0.66648063 7 -4.6888084 0.0011

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