Question

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

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

                       HA:  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.

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