Question

A researcher compares the effectiveness of two different instructional methods. A random sample of 78 students using Method 1 produces a testing average of 89.5 with a standard deviation of 16.8. A sample of 117 students using Method 2 produces a testing average of 55.9 with a standard deviation of 8.2. Construct a 99% confidence interval for the true difference in testing averages between the two methods. Round the endpoints of your interval to the nearest tenth if necessary. Show all work.

Answer 1

Therefore, based on the data provided, the 99% confidence interval for the difference between the population means 28.896<μ1​−μ2​<38.304

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