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Question 93270: 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
, , 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 . 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 95%confident that our estimate is
within 1.2 hours per week of ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 95%confident that our estimate is within 1.2 hours per week of ?
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n = [z's/E]^2
For 95% confidence z' = 1.96
s is the sample standard deviation = 6
E is the standard error = 1.2
n is the desired sample size
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n = [1.96*6/1.2]^2 = 96
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Cheers,
Stan H.
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