[Solution] A variable of a population has mean $μ, and standard deviation $σ$, For a large sample size $n$, answer the following questions. n.


Question: A variable of a population has mean $\mu, and standard deviation $\sigma$, For a large sample size $n$, answer the following questions.

n. Identify the distribution of $\bar{x}$.

b. Does your answer to part (a) depend on $n$ being large? Explain your answer.

c. Identity the mean and the standard deviation of $\bar{x}$.

d. Does your answer to part (c) depend on the sample size being large? Why or why not?

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