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The average cost to attend a particular university is $22,151. Assume the population standard deviation is $7,600. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) $ (b) What is the probability that the sample mean will be more than $22,151? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)

The average cost to attend a particular university is $22,151. Assume the population standard deviation is $7,600. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) $ (b) What is the probability that the sample mean will be more than $22,151? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)

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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You may need to use the appropriate appendix table or technology to answer this question. The average cost to attend a particular university is $22,151. Assume the population standard deviation is $7,600. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) (b) What is the probability that the sample mean will be more than $22,151? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The average cost to attend a particular university is $22,151. Assume the population standard deviation is $7,600. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) (b) What is the probability that the sample mean will be more than $22,151? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)
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