Assume that the sample is a simple random sample obtained from a normally distri
ID: 2946412 • 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 95?% confident that the sample standard deviation s is within 20?% of ?. is this sample size? practical?
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%
?33,218
?1,336
336
85
38
22
14
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 sigma??,the sample size n should be at least
?33,218
?1,336
336
85
38
22
14
Explanation / Answer
From the given table, 95% confidence and s is within 20% then:
Sample size = 48
This sample size is practical because it is fairly small.
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