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Check Alter deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be Use z-table. a. What is the value of the standard error of the mean? (to nearest whole number) b. What is the probability that the sample mean will be more than $25,300? (to 2 decimals) c. What is the probability that the sample mean will be within $1,000 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample size were increased to 100? (to 4 decimals)

Check Alter deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be Use z-table. a. What is the value of the standard error of the mean? (to nearest whole number) b. What is the probability that the sample mean will be more than $25,300? (to 2 decimals) c. What is the probability that the sample mean will be within $1,000 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample size were increased to 100? (to 4 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be ta Use z-table. a. What is the value of the standard error of the mean? (to nearest whole number) b. What is the probability that the sample mean will be more than $25,300? (to 2 decimals) c. What is the probability that the sample mean will be within $1,000 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample şize were increased to 100? (to 4 decimals)
Transcribed Image Text:After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be ta Use z-table. a. What is the value of the standard error of the mean? (to nearest whole number) b. What is the probability that the sample mean will be more than $25,300? (to 2 decimals) c. What is the probability that the sample mean will be within $1,000 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample şize were increased to 100? (to 4 decimals)
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