Question

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

Sample Mean₁ = 262   Sample Variance₁ = 23     n₁ = 10

Sample Mean₂ = 249   Sample Variance₂ = 35     n₂ = 10

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

H₀:  μ₁ – μ₂ ≤ 0

                       H_A:  μ₁ – μ₂ > 0

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 Zone; Determine the Conclusion reached by the Hypothesis Test using the Critical Value Approach.

Answer 1