1) The standard deviation of the sampling distribution of the sample mean is als

Question

1)

The standard deviation of the sampling distribution of the sample mean is also called

Select one:

a. central limit theorem

b. population standard deviation

c. standard error

d. None of the above

2) The mean of the sampling distribution of the sample mean is:

Select one:

a. equal to the population mean

b. greater than the population mean

c. less than the population mean

d. not equal to the population mean but the direction cannot be determined

3) A random sample of size 49 is taken from a population whose mean is 300 and standard deviation is 21. The mean and the standard error of the sampling distribution of the sample mean, respectively are:

Select one:

a. 300 and 21

b. 300 and 3

c. 300 and 0.43

d. None of the above

Explanation / Answer

1) Option-C) standard error

2) Option-A) equal to the population mean

3) mean of the sampling distribution = mean of population = 300

standard error of the sampling distribution = standard deviation of population / sqrt(n)

                                                                   = 21 / sqrt(49)

                                                                   = 3

Option-B) 300 and 3

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