Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to be about $22,500. You take a random sample of 146 college students in the state of Vermont and find the mean debt is $23,500 with a standard deviation of $2,700. You want to construct a 90% confidence interval for the mean debt for all Vermont college students. (a) What is the point estimate for the mean debt of all Vermont college students? (b) Construct the 90% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar. (c) Are you 90% confident that the mean debt of all Vermont college students is greater than the quoted national average of $22,500 and why?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to be about $22,500. You take a random sample of 146 college students in the state of Vermont and find the mean debt is $23,500 with a standard deviation of $2,700. You want to construct a 90% confidence interval for the mean debt for all Vermont college students. (a) What is the point estimate for the mean debt of all Vermont college students? (b) Construct the 90% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar. (c) Are you 90% confident that the mean debt of all Vermont college students is greater than the quoted national average of $22,500 and why?

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