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 of8

8in-state applicants results in a SAT scoring mean of1144

1144with a standard deviation of25

25. A random sample of17

17out-of-state applicants results in a SAT scoring mean of1200

1200with a standard deviation of26

26. Using this data, find the90%

90%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 2 of 3:Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places

Step 3 of 3:Construct the90%

90%confidence interval. Round your answers to the nearest whole number.