In: Statistics and Probability
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.
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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