Question

# Which of the following is true regarding the sampling distribution of the mean for a large...

Which of the following is true regarding the sampling distribution of the mean for a large sample size?

Select one:

a. It has the same shape, mean, and standard deviation as the population.

b. It has the same shape and mean as the population, but has a smaller standard deviation.

c. It has a normal distribution with the same mean as the population but with a smaller standard deviation.

d. It has a normal distribution with the same mean and standard deviation as the population.

according to central limit theorem, when the sample size is larger the sampling distribution of the sample mean tend to be normal with the same mean as the population , and the standard deviation as follows:

mean of sampling distribtion , where is population mean

standard deviation of sampling distribution = C:

It has a normal distribution with the same mean as the population but with a smaller standard deviation

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