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1. Suppose a random sample of 100 elements is selected from a non-normally distributed population with...

1. Suppose a random sample of 100 elements is selected from a non-normally distributed
population with a mean of µ = 30 and a standard deviation of σ = 8.
a. What is the expected value of ?̅?
b. What is the standard error of the mean ??̅?
c. What is the sampling distribution of ?̅? Describe its properties.
d. If we select a random sample of size n = 100, what is the probability that ?̅will fall
within ± 1 of µ= 30? That is, what is P(29 ≤ ?̅≤ 31)?
e. If the population size is N = 10,000, what is the standard error of the mean ??̅?
f. If the population size is N = 2,000, what is the standard error of the mean ??̅?

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