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. 1 2 3 4 5 The state of California has a mean annual rainfall of 25.2 inches, whereas the state of New York has a mean 6 annual rainfall of 48.7 inches. Assume the standard deviation for California is 4.9 inches and for New York is 8.2 inches. Find the probability that, for a sample of 35 years of rainfall for New York, the mean annual rainfall is at 7 8 least 50 inches. (See exercise 28 on page 328 of your textbook for a sim 19 problem.) 20 21 22 23 24 25 26 27 Click to Grade Your Work 28

Answer 1

. Find P(XY50) New York in Mean (u) = 141897 40.7 SD (o) = 0.2 Find z-score ! z=x-M P(x250) = 1-P(x<50) - 1-P(Z < x- where x= 56 n.35 50-48.7 l . = 1-P(z<-8.2 SES = 1-P(Z <0.938) from distribution table of Normal. (2<0.938) = 0.8259 31 - 0.8259 = 0.1741 Ang