Two independent random samples have been selected, 100 observations from population 1 and...

Two independent random samples have been selected, 100 observations from population 1 and 100 from population 2. Sample means were obtained. From previous experience with these populations, it is known that the variances are σ12 = 100 and σ22 =64

a. Find  b. Sketch the approximate sampling distribution assuming that (μ1 - μ2) = 5.

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c. Locate the observed value of on the graph you drew in part

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b. Does it appear that this value contradicts the null hypothesis H0: (m1 - m2) = 5?

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d. Use the z -table to determine the rejection region for the test of H0: (μ1 - μ2). = 5 against Ha: (µ1-µ2) ≠ 5 Use α = .05.

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e. Conduct the hypothesis test of part d and interpret your result.

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f. Construct a 95% confidence interval for (μ1 - μ2). Interpret the interval.

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g. Which inference provides more information about the value of (μ1 - μ2). the test of hypothesis in part e or the confidence interval in part f ?