Graduation Rates. regarding the relationship between college graduation rate and the predictor variables student-to-faculty ratio, percentage of freshmen in the top 10% of their high school class, and percentage of applicants accepted. The confidence and prediction intervals are for the case where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted. a. Obtain a point estimate for the mean graduation rate of all schools where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted. b, Determine a 95% confidence interval for the mean graduation rate of all schools where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted. c. Determine the predicted graduation rate at a randomly selected school where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted. d. Determine a 95% prediction interval for the graduation rate at a randomly selected school where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted. e. In solving parts (a) and (b), what assumptions are you making?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Graduation Rates. regarding the relationship between college graduation rate and the predictor variables student-to-faculty ratio, percentage of freshmen in the top 10% of their high school class, and percentage of applicants accepted. The confidence and prediction intervals are for the case where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted.

a. Obtain a point estimate for the mean graduation rate of all schools where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted.

b, Determine a 95% confidence interval for the mean graduation rate of all schools where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted.

c. Determine the predicted graduation rate at a randomly selected school where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted.

d. Determine a 95% prediction interval for the graduation rate at a randomly selected school where the student-to-faculty ratio is 18 to 1, 70% of the freshmen were in the top 10% of their high school class, and 75% of the applicants are accepted.

e. In solving parts (a) and (b), what assumptions are you making?

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