A normal population has a mean of $$65$ and standard deviation of $$17.$ You select random samples of nine.

Required;

a$.$ Apply the central limit theorem to describe the sampling distribution of the sample mean with $n=9.$ With the small sample size, what condition is necessary to apply the central limit theorem?

Applying the central limit theorem requires the poputation distribution to be normal.

b$.$ What is the standard error of the sampling distribution of sample means? Note: Round your answer to $2$ decimal places.

Standard Error

r$.$ What is the nrahahilitu that a samnle mean is creater than $$68?$

$8$ of $8$

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