C www.webassign.net/web/Student/Assignment-Responses/last7dep-18415743 You may n
ID: 3067484 • Letter: C
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C www.webassign.net/web/Student/Assignment-Responses/last7dep-18415743 You may need to use the appropriate Appendix Table to answer this question. 0.-12 points MBasicStar7 15E 035 My Notes AsR Your Andrew plans to retire in 45 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the years, the annual returns on u s. common stocks had mean 13.5% and standard deviation 19.05. The distribution of annual returns on common stocks is roughly symmetric so the mean return over even a moderate number of years is close to Normal. (Round your answers to four decimal places.) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 4s years will ced what is the probability that the mean return will be less than 5%? You may need to use the appropriate Appendix Table to answer this question My Notes-Ask Your Te 1 points MBasicStar7 5 E 03 To estrate the mean score ? of those who took the Hedical college Admissen Test on your earpus, you ei, obtain thr score, or an SAS o, students. From pubished information, you cnow that the scores are approximately Normal with standard deviation about 8,2, How large an aRs must you take to reduce the standard deviation of the sample mean score to 17 Round your answer up to the next wihole number.) ???Explanation / Answer
a) P(x > 0.09)
= P((X - mean)/sd > (0.09 - mean)/sd)
= P(Z > (0.09 - 0.135)/0.19)
= P(Z > -0.24)
= 1 - P(Z < -0.24)
= 1 - 0.4052
= 0.5948
b) P(X < 0.05)
= P((X - mean)/sd < (0.05 - mean)/sd)
= P(Z < (0.05 - 0.135)/0.19)
= P(Z < -0.45)
= 0.3264
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