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Mathematics, 12.04.2021 22:00 sailormaries7101

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 13 in-state applicants results in a SAT scoring mean of 1107 with a standard deviation of 33. A random sample of 17 out-of-state applicants results in a SAT scoring mean of 1220 with a standard deviation of 34. Using this data, find the 95% 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 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

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