A variable of a population is normally distributed with mean
A variable of a population is normally distributed with mean μ and standard deviation σ.
a. Identify the distribution of x-bar.
b. Does your answer to part (a) depend on the sample size? Explain your answer.
c. Identify the mean and the standard deviation of x-bar.
d. Does your answer to part (c) depend on the assumption that the variable under consideration is normally distributed? Why or why not?
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