# Question: A random sample of size n 100 is taken from a

A random sample of size n=100 is taken from a population with mean µ =80 and standard deviation σ =14.

a. Calculate the expected value and the standard error for the sampling distribution of the sample mean.

b. What is the probability that the sample mean falls between 77 and 85?

c. What is the probability that the sample mean is greater than 84?

a. Calculate the expected value and the standard error for the sampling distribution of the sample mean.

b. What is the probability that the sample mean falls between 77 and 85?

c. What is the probability that the sample mean is greater than 84?

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