Assume that the sample is a simple random sample obtained from a normally distri
ID: 3256593 • 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
99?% confident that the sample standard deviation s is within
50
50?% of
sigma
?. 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%
of the value of ??, the sample size n should be at least
?33,218
?1,336
336
85
38
22
14
The minimum sample size needed is______.
Is this sample size? practical?
A. No?, because 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. ?No, because the sample size should be as small as possible for most applications.
D. Yes?, because the sample size is small enough to be practical 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
Here we need it within 50% of SD and confidence level is 99% so from the table:
Minimum sample size = 14
Yes, because the sample size is small enough to be practical for most applications. Option D is correct.
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