Check My According to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New York has a mean annual rainfall of 47 inches. Assume that...

Extracted text: Check My According to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New York has a mean annual rainfall of 47 inches. Assume that the standard deviation for both states is 3 inches 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 normal probability distribution with E(E) and os (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 within1 inch of the population mean for New York? (to 4 decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within I inch of the population mean greater? Why? because the sample size is -Seléct your answer - Y Select your answer- |The probability of being within 1 inch is greater