A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate u using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of u? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.25. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. The union will choose a
random sample of wages and then estimate u using the mean of the sample. What is the minimum sample size needed in order for the union to be 95%
confident that its estimate is within $0.35 of u? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.25.
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)
Transcribed Image Text:A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate u using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of u? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.25. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
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