Assume that the populations are normally distributed with, Basic Statistics

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Assume that the populations are normally distributed with

Consider the following competing hypotheses and accompanying sample data. Use Table .

H₀: μ₁ - μ₂ = 5

H_A: μ₁ - μ₂ ≠ 5

= 57	= 43
s₁ = 21.5	s₂ = 15.2
n₁ = 22	n₂ = 18

Assume that the populations are normally distributed with unknown but equal variances.

a. Calculate the value of the test statistic.

b. Using the p-value approach, test the above hypotheses at the 5% significance level.

c. Repeat the analysis using the critical value approach.

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