Question

In: Statistics and Probability

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 19 male applicants results in a SAT scoring mean of 1101 with a standard deviation of 30. A random sample of 9 female applicants results in a SAT scoring mean of 1014 with a standard deviation of 29. 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.

Solutions

Expert Solution

Confidence interval calculation. t distribution for difference of means. Because sample sizes are small (n<30).

orchestra answered 2 years ago
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