Many college graduates who are employed full-time have longer than 40- hour work weeks. Suppose that we wish to estimate the mean number of hours, μ, worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate μ. Assuming that the standard deviation of the number of hours worked by college graduates is 6.00 hours per week, what is the minimum sample size needed in order for us to be 90% confident that our estimate is within 1.5 hours per week of μ?
Many college graduates who are employed full-time have longer than 40- hour work weeks. Suppose that we wish to estimate the mean number of hours, μ, worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate μ. Assuming that the standard deviation of the number of hours worked by college graduates is 6.00 hours per week, what is the minimum sample size needed in order for us to be 90% confident that our estimate is within 1.5 hours per week of μ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Confidence Intervals and Hypothesis Testing
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Choosing an appropriate sample size

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Many college graduates who are employed full-time have longer than 40-
hour work weeks. Suppose that we wish to estimate the mean number of
hours, μ, worked per week by college graduates employed full-time. We'll
choose a random sample of college graduates employed full-time and use
the mean of this sample to estimate μ. Assuming that the standard
deviation of the number of hours worked by college graduates is 6.00 hours
per week, what is the minimum sample size needed in order for us to be
90% confident that our estimate is within 1.5 hours per week of μ?
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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