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Assume that the sample is a simple random sample obtained from a normally distri

ID: 3390146 • Letter: A

Question

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 . Is this sample size practical?

To be 95% confident that s is within

1%

5%

10%

20%

30%

40%

50%

19,205

768

192

48

21

12

8

To be 99% confident that s is within

1%

5%

10%

20%

30%

40%

50%

33,218

1,336

336

85

38

22

14

The minimum sample size needed is

nothing.

Is this sample size practical?

A. No,because the sample size is excessively large to be practical for most applications.the sample size is excessively large to be practical for most applications.

B. Yes, because the sample size should be as large as possible for most applications.

C.Yes,because the sample size is small enough to be practical for most applications.the sample size is small enough to be practical for most applications.

D.No, because the sample size shoud be as small as possible for most applications.

To be 95% confident that s is within

1%

5%

10%

20%

30%

40%

50%

of the value of ,
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 ,
the sample size n should be at least

33,218

1,336

336

85

38

22

14

Explanation / Answer

Assume that the sample is a simple random sample obtained from a normally distri

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