Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator

Question

Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator. IMPORTANT: Make sure you carry all decimals until you reach your answer, then round to four decimals. The state of California has a mean annual rainfall of 23.8 inches, whereas the state of New York has a mean annual rainfall of 48.7 inches. Assume the standard deviation for California is 4.9 inches and for New York is 5.6 inches. Find the probability that, for a sample of 40 years of rainfall for California, the mean annual rainfall is at least 25 inches. (See exercise 24 on page 326 of your textbook for a similar problem.)

Explanation / Answer

for normal distribution z score =(X-)/ here mean=       = 23.800 std deviation   == 4.9000 sample size       =n= 40 std error=x=/n= 0.7748 probability = P(X>25) = P(Z>1.55)= 1-P(Z

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