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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 17 male applicants results in a SAT scoring mean of 1244 with a standard deviation of 59. A random sample of 10 female applicants results in a SAT scoring mean of 1141 with a standard deviation of 34. Using this data, find the 99% 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 99% confidence interval. Round your answers to the nearest whole number.

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 17 male applicants results in a SAT scoring mean of 1244 with a standard deviation of 59. A random sample of 10 female applicants results in a SAT scoring mean of 1141 with a standard deviation of 34. Using this data, find the 99% 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 99% confidence interval. Round your answers to the nearest whole number.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 43P
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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 17 male applicants results in a SAT scoring mean of 1244 with a standard deviation of 59. A random sample of 10 female applicants results in a SAT scoring mean of 1141 with a standard deviation of 34. Using this data, find the 99% 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 99% confidence interval. Round your answers to the nearest whole number.

 
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