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A population is estimated to have a standard deviation of 6. We want to estimate the...

A population is estimated to have a standard deviation of 6. We want to estimate the mean within 1, with a 99% level of confidence.

How large is a sample required? (Round your answer to the next whole number)

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

standard deviation = = 6

margin of error = E = 1

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

= ((2.576 * 6) / 1)2

= 238.88 = 239

Sample size = 239

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