Question

According to the Current Results website, the state of California has a mean annual rainfall of 25 inches, whereas the state of New York has a mean annual rainfall of 55 inches. Assume that the standard deviation for both states is 3 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table.

A.) Show the probability distribution of the sample mean annual rainfall for California.

This is a graph of a normal distribution with E(x-bar) =      and   σ_{x̅ = .} (to 4 decimals).

B.) What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals)

C.) What is the probability that the sample mean is within 1 inch of the population mean for New York?

D.) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean for New York? (to 4 decimals)

The probability of being within 1 inch is ( Greater / Lower ) for New York in part (c) because the sample size is ( Larger / Smaller )

Answer 1