Question

Given two dependent random samples with the following results:

Population 1	4646	4747	3535	2525	3737	2727	4848
Population 2	4242	3333	3737	2121	4646	4141	3535

Use this data to find the 98%98% confidence interval for the true difference between the population means.

Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Assume that both populations are normally distributed.

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Step 1 of 4:

Find the mean of the paired differences, d‾‾d‾. Round your answer to one decimal place.

Step 2 of 4:

Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 3 of 4:

Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.

Step 4 of 4:

Construct the 98%98% confidence interval. Round your answers to one decimal place.

Answer 1

The statistical software output for this problem is :

mean of the paired differences = 7.4

Critical value = 3.143

standard deviation of the paired differences = 14.7

The 98% confidence interval is : -10.1 to 24.9