3. Consider the following sample data and hypotheses. Assumethat the populations are normally distributed withunequal variances.
Sample Mean1 = 262Â Â SampleVariance1 = 23Â Â Â Â n1 =10
Sample Mean2 = 249Â Â SampleVariance2 = 35Â Â Â Â n2 =10
a. Construct the 90% Confidence Interval for the difference ofthe two means.
H0:  μ1 – μ2 ≤ 0
                      HA:  μ1 – μ2 > 0
b. Using the hypotheses listed above, conduct the followinghypothesis test steps. Following the “Roadmap for HypothesisTestingâ€, State Null and Alternative Hypotheses; Calculate the TestStatistic; Determine the Critical Value for α = 0.05; Draw apicture complete with Test Statistic, Critical Value &Rejection Zone; Determine the Conclusion reached by the HypothesisTest using the Critical Value Approach.
