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 9 in-state applicants results in a SAT scoring mean of 1165 with a standard deviation of 44 . A random sample of 13 out-of-state applicants results in a SAT scoring mean of 1220 with a standard deviation of 55 . Using this data, find the 98% 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 3 of 3 : Construct the 98% confidence interval. Round your answers to the nearest integer.
Added by Roger G.
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To construct the 98% confidence interval for the true mean difference between the SAT scores of in-state and out-of-state applicants, we will follow these steps: Show more…
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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 9 in-state applicants results in a SAT scoring mean of 1165 with a standard deviation of 44. A random sample of 13 out-of-state applicants results in a SAT scoring mean of 1220 with a standard deviation of 55. Using this data, find the 98% 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. Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places Step 3 of 3: Construct the 98% confidence interval. Round your answers to the nearest whole number.
Supreeta N.
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 9 in-state applicants results in a SAT scoring mean of 1106 with a standard deviation of 58. A random sample of 13 out-of-state applicants results in a SAT scoring mean of 1224 with a standard deviation of 48. Using this data, find the 98% 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. Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Step 3 of 3: Construct the 98%98% confidence interval. Round your answers to the nearest whole number.
Rosina D.
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 19 in-state applicants results in a SAT scoring mean of 1168 with a standard deviation of 48. A random sample of 11 out-of-state applicants results in a SAT scoring mean of 1213 with a standard deviation of 46. 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 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Kirsty G.
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