1. The GPAs of students at Generic University are normally distributed with a mean of 2.78 and a standard deviation of 0.34. You select a random sample of 4 students and compute their mean GPA (d) Find two values symmetric about the mean such that the probability that the sample mean falls between them is 50%. (e) What is the probability that the sample mean is above 2.50? (f) Why are we justified in assuming that the sampling distribution of the mean will be normally distributed in this problem?

1. The GPAs of students at Generic University are normally distributed with a mean of 2.78 and a standard deviation of 0.34. You select a random sample of 4 students and compute their mean GPA (d) Find two values symmetric about the mean such that the probability that the sample mean falls between them is 50%. (e) What is the probability that the sample mean is above 2.50? (f) Why are we justified in assuming that the sampling distribution of the mean will be normally distributed in this problem?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

1. The GPAs of students at Generic University are normally distributed with a mean of 2.78
and a standard deviation of 0.34. You select a random sample of 4 students and compute
their mean GPA
(d) Find two values symmetric about the mean such that the probability that the sample
mean falls between them is 50%.
(e) What is the probability that the sample mean is above 2.50?
(f) Why are we justified in assuming that the sampling distribution of the mean will be
normally distributed in this problem?

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