# Question

a. Use the following data and α = .10 to test the stated hypotheses. Assume x is normally distributed in the populations and the variances of the populations are approximately equal.

H0: µ1 - µ2 = 0 ....... Ha: µ1 - µ2 ≠ 0

Sample 1 ... Sample 2

n1 = 20 .... n2 = 20

x̄1 = 118 ..... x̄2 = 113

s21 = 23.9 .... s22 = 21.6

b. Use these data to construct a 90% confidence interval to estimate µ1 - µ2.

H0: µ1 - µ2 = 0 ....... Ha: µ1 - µ2 ≠ 0

Sample 1 ... Sample 2

n1 = 20 .... n2 = 20

x̄1 = 118 ..... x̄2 = 113

s21 = 23.9 .... s22 = 21.6

b. Use these data to construct a 90% confidence interval to estimate µ1 - µ2.

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