Question

The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 16 in-state applicants results in a SAT scoring mean of 1144 with a standard deviation of 55. A random sample of 10 out-of-state applicants results in a SAT scoring mean of 1185 with a standard deviation of 41. Using this data, find the 99% confidence interval for the true mean difference between the scoring mean for in-state applicants and out-of-state applicants. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 3 of 3: Construct the 99% confidence interval. Round your answers to the nearest whole number.

Answer 1