Question

I already included the correct answers to each step. I just want to know how to get to those answers.

The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample of 7 male applicants results in a SAT scoring mean of 1075 with a standard deviation of 39. A random sample of 17 female applicants results in a SAT scoring mean of 1187 with a standard deviation of 32. Using this data, find the 98% confidence interval for the true mean difference between the scoring mean for male applicants and female applicants. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 1 of 3:

Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

3.143

Step 2 of 3:

Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to the nearest whole number.

17

Step 3 of 3:

Construct the 98% confidence interval. Round your answers to the nearest whole number.

Lower endpoint: -165. Upper endpoint: -59.

Answer 1