Determine whether the following statements are TRUE or FALSE: a) The standard de

Question

Determine whether the following statements are TRUE or FALSE:

a) The standard deviation of the sampling distribution of the sample mean depends on the value of .

b) If the sampling distribution of the sample mean is approximately normal, then the population from which the samples were drawn must have been normally distributed.

c) If we quadruple the sample size, the standard deviation of the sampling distribution of the sample mean would decrease by a factor of 2.

d) The value of a parameter does not vary from sample to sample.

e) The value of a statistic does not vary from sample to sample.

Explanation / Answer

a) It is False.The standard deviation of the sampling distribution of the sample mean depends on the value of .

b) It is False. If the sampling distribution of the sample mean is approximately normal, then the population from which the samples were drawn must have been normally distributed.

c) It is True. If we quadruple the sample size, the standard deviation of the sampling distribution of the sample mean would decrease by a factor of 2.

d)  It is False.The value of a parameter does not vary from sample to sample

e) It is True. The value of a statistic does not vary from sample to sample.

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