standard deviation is 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. a. Calculate the parameters of the sampling distribution of the sample mean. b. What is the probability that a random sample of 50 unemployed individuals will provide a sample mean within a week of the population mean? c. What is the probability that a random sample of 50 unemployed individuals will provide a sample mean within 1/2 week of the population mean? (And327)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a population of unemployed, the average number of weeks of unemployment is 17.5 weeks and the
standard deviation is 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals for
a follow-up study.
a. Calculate the parameters of the sampling distribution of the sample mean.
b. What is the probability that a random sample of 50 unemployed individuals will provide a sample
mean within a week of the population mean?
c. What is the probability that a random sample of 50 unemployed individuals will provide a sample
mean within 1/2 week of the population mean? (And327)
Transcribed Image Text:In a population of unemployed, the average number of weeks of unemployment is 17.5 weeks and the standard deviation is 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. a. Calculate the parameters of the sampling distribution of the sample mean. b. What is the probability that a random sample of 50 unemployed individuals will provide a sample mean within a week of the population mean? c. What is the probability that a random sample of 50 unemployed individuals will provide a sample mean within 1/2 week of the population mean? (And327)
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