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5. [-I1 Points] DETAILS ASWSBE15 7.E.024. 012 Submissions Used MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology to answerthis question. Barron's reported that the average number of weeks an individual is unemployed is 16.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 16.5 weeks and that the population standard deviation is six weeks. Suppose you would like to select a sample of 50 unemployed individuals for a followup study. (a) Showthe sampling distribution of E. the sample mean average for a sample of 50 unemployed individuals. weeks . L 47.6 48.4 49.2 50 50.8 51.6 52.4 ' ' ' WE'ERS -1.5 4.5 10.5 15.5 22.5 28.5 34.5 @ @C o weeks weeks 2.41.6O.B 0 0.8 1.6 2.4 14.1 14.9 15.7 16.5 17.3 18.1 18.9 C C Q) (b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within one week of the population mean? (Round your answer to four decimal places .} l (o) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within %week of the population mean? [Round your answer to four decimal places.) 2 Need new @