Which of the following one choice is true regarding the probability distribution

Question

Which of the following one choice is true regarding the probability distribution of Xbar, for a sufficiently large sample size?

a) depends on the value of M(mean), but not the value of O (standard deviation)

b) depends on the value of O, but not the value of M

c) It has the same shape, mean, and standard deviation as the population distribution

d) It has the same shape and mean as the population distribution with a smaller standard deviation

e) It has a normal distribution, with the same mean and standard deviation as the population distribution

Explanation / Answer

Answer:-

d) It has the same shape and mean as the population distribution with a smaller standard deviation

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