An instructor would like to know about the difference in test averages between the first and...

An instructor would like to know about the difference in test averages between the first and second exams of the school year. To that end, we sample 100 of each test and find Test 1 has sample average 85 and Test 2 has sample average 79. From past experience we know Test 1 grades have a standard deviation of 3 and Test 2 grades have a standard deviation for 4.If μ1 is the population mean for Test 1 and μ2 is the population mean for Test 2, find the margin of error for a 99% confidence interval for the true difference μ1-μ2. Round your answer to three decimal places.

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Expert Solution

Margin of error = 1.288

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