Question

Given two dependent random samples with the following results: Population 1 34 34 45 45 42 42 32 32 26 26 31 31 38 38 Population 2 36 36 38 38 28 28 26 26 39 39 29 29 49 49 Use this data to find the 99% 99 % confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Copy Data Step 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1 x 1 be the value from Population 1 and x2 x 2 be the value from Population 2 and use the formula d=x2−x1 d = x 2 − x 1 to calculate the paired differences. Round your answer to one decimal place.

Answer 1

From the given data, values of d = X2 - X1 are calculated as follows:

d = X2 - X1 = 2, -7, -14, -6, 13, -2, 11

From d values, the following statistics are calculated:

n = 7

= - 0.429

s_d = 9.813

the point estimate for the population mean of the paired differences. = - 0.4 ( Round answer to one decimal place. )

df = 7 - 1 = 6

= 0.01

From Table, critical values of t = 3.707

Confidence Interval:

So,

Answer is:

(-14.2, 13.3)