A simple random sample of size n =77 is obtained from a population with =82 and sigma =7. Does the population need to be normally distributed for the sampling distribution of x overbar x to be approximately normallydistributed? Why? What is the sampling distribution of x overbar x?

What is the sampling distribution of x overbar x? Select the correct choice below and fill in the answer boxes within your choice.

(Type integers or decimals rounded to three decimal places asneeded.)

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