Question

A college professor wants to estimate the difference in mean test scores of students who have...

A college professor wants to estimate the difference in mean test scores of students who have taken his statistics and genetics classes in the past 10 years. He selects a random sample of 20 student records from the statistics course and a random sample of 22 student records from the genetics course. These two samples were independent random samples. The study provided the results shown in the table below. Construct a 95% confidence interval for the true difference in population means of these two populations of students.

Statistics Genetics
Sample size 20 22
Sample mean 78 75
Sample standard dev. 10 12

A) (-3.659806, 9.659806)

B) (-0.39786, 6.39786)

C) (-3.92777, 9.92777)

D) (-5.87761, 11.47223)

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