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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