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TUTOR, PLEASE DOUBLE CHECK YOUR ANSWERS, MAKE SURE THEY ARE CORRECT. According to the Current Results...

TUTOR, PLEASE DOUBLE CHECK YOUR ANSWERS, MAKE SURE THEY ARE CORRECT.

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 52 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)=_____ and Ox=______ (round to 4 decimal places)

b. What is the probability that the sample mean is within 1 inch of the population mean for California? (round to 4 decimal places)

c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (round to 4 decimal places)

d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why?

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milcah answered 4 months ago
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