A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 215 students using Method 1 produces a testing average of 55.5. A sample of 242 students using Method 2 produces a testing average of 64.2. Assume that the population standard deviation for Method 1 is 7.95, while the population standard deviation for Method 2 is 18.21. Determine the 90% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
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