Question

Assignment: Chapter 7 Assignment [ECN221] Assignment Score: 61.53 Save Submit Assignment for Grading Questions Exercise 07.24 Algorithmic Question 13 of 13 11. O Check My Work (2 remaining) 12. 13. eBook According to the Current Results website, the state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 2 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() (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? (to 4 decimals) 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? The probability of being within 1 inch is-Select your answer- for New York in part (c) because the sample size is -Select your answer Check My Work (2 remaining) O Ieon Key Question 13 of 13 8:09 PM AG&Q 10/19/2019 Exercise 07.24 Algorithmic A P2 w DELL

Answer 1

1 Ans: u = 22, 5-2, n. - 30 M = 42, 50 = 2, nw = 45 (a) this is a graph of a normal distribution, with E (=) = ( 22 rich and oz - 5 = 1/30 I - (0.3652) riches 6 P(-183652 - 22 03652) 1 -062.742722.79) - P(Z < 0.74- P(26-374) - 0.99693 -0.00307 c) & (x) - 42 - 0:9939) 62 - 2 2 - 0.2981 145 P ( 2981 < za agen) = 863.36223:30 = $(z<3.36) - P(z 2 -3.36) - 0.99961-00039 - 10.9992 d) the population of being within 1 richies gcreaseh for new york en part @ because Samole size is largel (greater) las size is the sample