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.
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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 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.
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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 8 in-state applicants results in an SAT scoring mean of 1087 with a standard deviation of 33. A random sample of 18 out-of-state applicants results in an SAT scoring mean of 1130 with a standard deviation of 51. 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. 1. Find the point estimate that should be used in constructing the confidence interval. 2. Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. 3. Construct the 98% confidence interval. Round your answers to the nearest whole number.
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