How large a random sample do we have to take so that its mean is as reliable an
ID: 3357497 • Letter: H
Question
How large a random sample do we have to take so that its mean is as reliable an estimate of the mean of a symmetrical infinite population as the median of a random sample of size n = 25 ?
A. 25
B. 4
C. 39
D. 16
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Which of the following statements about the Central Limit Theorem (CLT) is correct?
The CLT states that the sample mean is always equal to the population mean.
The CLT states that the sampling distribution of the sample mean is approximately normal for large sample sizes.
The CLT states that the sample mean is equal to the population mean.
The CLT states that the sampling distribution of the population mean is approximately normal.
A. 25
B. 4
C. 39
D. 16
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Explanation / Answer
The standard error is inversely proportional to the square root of the sample size.
We need a factor of 25 = 5 and the finite correction factor makes it N -1 = 5 - 1 = 4 for finite values.
The answer is 4.
The central limit theroem says :
The CLT states that the sampling distribution of the sample mean is approximately normal for large sample sizes.
B.The CLT states that the sampling distribution of the sample mean is approximately normal for large sample sizes.
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