A dean at a certain college looked up the GPA for a random sample of 85 students.

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A dean at a certain college looked up the GPA for a random sample of 85 students. The sample mean GPA was 2.82, and a 95% confidence interval for the mean GPA of all students in the college was 2.76 < μ < 2.88. True or false, and explain:

a. We are 95% confident that the mean GPA of all students in the college is between 2.76 and 2.88.

b. We are 95% confident that the mean GPA of all students in the sample is between 2.76 and 2.88.

c. The probability is 0.95 that the mean GPA of all students in the college is between 2.76 and 2.88.

d. 95% of the students in the sample had a GPA between 2.76 and 2.88.

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Elementary Statistics

ISBN: 9781259969454

3rd Edition

Authors: William Navidi, Barry Monk

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