According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is $29,625. Assume the population standard deviation is $6,600 . Suppose that a random sample of 70 USC students will be taken from this population. c. What is the probability that the sample mean will be within $1,250 of the population mean? .8859 How would the probability in part (c) change if the sample size were increased to 150? (to 4 decimals)

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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According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is $29,625. Assume the population standard deviation is $6,600 . Suppose that a random sample of 70 USC students will be taken from this population.

c. What is the probability that the sample mean will be within $1,250 of the population mean?

.8859

How would the probability in part (c) change if the sample size were increased to 150?

(to 4 decimals)

 

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