A researcher compares the effectiveness of two different instructional methods for teaching physiology. A sample of 202 students using Method 1 produces a testing average of 78.1. A sample of 194 students using Method 2 produces a testing average of 56.4. Assume that the population standard deviation for Method 1 is 9.22, while the population standard deviation for Method 2 is 6.91. Determine the 99%confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2.
1. Find the point estimate for the true difference between the population means.
2. Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
3. Construct the 99% confidence interval. Round your answers to one decimal place.
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