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Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors.

Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 99​% confident that the sample standard deviation s is within 50%of σ. Is this sample size​ practical?

sigma


σ

To be​ 95% confident that s is within

​1%

​5%

​10%

​20%

​30%

​40%

​50%

of the value of sigma


σ​, the sample size n should be at least

​19,205

768

192

48

21

12

8

To be​ 99% confident that s is within

​1%

​5%

​10%

​20%

​30%

​40%

​50%

of the value of sigma


σ​, the sample size n should be at least

​33,218

​1,336

336

85

38

22

14

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