Question

Consider the following sample data and hypotheses. Assume that the populations are normally distributed with equal variances.

Sample Mean₁ = 57                    s₁ = 21.5            n₁ = 22

Sample Mean₂ = 43                    s₂ = 15.2            n₂ = 18

a. Construct the 90% Confidence Interval for the difference of the two means.

H₀:  μ₁ – μ₂ = 5

                       H_A:  μ₁ – μ₂ ≠ 5

b. Using the hypotheses listed above, conduct the following hypothesis test steps. Following the “Roadmap for Hypothesis Testing”, State Null and Alternative Hypotheses; Calculate the Test Statistic; Determine the Critical Value for α = 0.05; Draw a picture complete with Test Statistic, Critical Value & Rejection Zones; Determine the Conclusion reached by the Hypothesis Test using the Critical Value Approach.

Answer 1