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  3. 3. consider the following sample data and hypothes

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

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Statistics

3. Consider the following sample data and hypotheses. Assumethat the populations are normally distributed withunequal variances.

Sample Mean1 = 262   SampleVariance1 = 23     n1 =10

Sample Mean2 = 249   SampleVariance2 = 35     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 HypothesisTesting”, 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.

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