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The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...

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 16 male applicants results in a SAT scoring mean of 1146 with a standard deviation of 30. A random sample of 9 female applicants results in a SAT scoring mean of 1054 with a standard deviation of 33. 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.

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.

Step 3 of 3: Construct the 98%98% confidence interval. Round your answers to the nearest whole number.

Math   Statistics-And-Probability   
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