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The college is interested in determining how many hours each week students spend working each week....

The college is interested in determining how many hours each week students spend working each week. They wish to estimate the number to within half an hour. A small pilot study showed a mean number of hours worked of 33 with a standard deviation of 4.8 hours. How many college students should the college study if they wish to be 99% confident of their results?

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Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Population standard deviation = =4.8

Margin of error = E = 0.5

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

sample size = n = (Z/2* / E) 2

n = (2.576 * 4.8/ 0.5)2

n = 611.55

n = 612

Sample size = 612

612 college students should the college study if they wish to be 99% confident of their results.

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