1/2 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 6 weeks. Suppose you would like to select a sample of 45 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 45 unemployed individuals. weeks 13.8 14.7 15.6 16.5 17.4 18.3 19.2 weeks -2.7 -1.8 -0.9 -1.5 4.5 10.5 16.5 22.5 28.5 34.5 weeks 42.3 43.2 44.1 45 45.9 46.8 47.7 (b) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean? (F (c) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within week of the population mean?

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You may need to use the appropriate appendix table or technology to answer this 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
6 weeks. Suppose you would like to select a sample of 45 unemployed individuals for a follow-up study.
(a) Show the sampling distribution of x, the sample mean average for a sample of 45 unemployed individuals.
weeks
13.8 14.7 15.6 16.5 17.4 18.3 19.2
weeks
weeks
-2.7 -1.8 -0.9 0
0.9 1.8 2.7
-1.5 4.5 10.5 16.5 22.5 28.5 34.5
weeks
42.3 43.2 44.1 45 45.9 46.8 47.7
(b) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the p
decimal places.
(c) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within week of the population m
decimal pla
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this 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 6 weeks. Suppose you would like to select a sample of 45 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 45 unemployed individuals. weeks 13.8 14.7 15.6 16.5 17.4 18.3 19.2 weeks weeks -2.7 -1.8 -0.9 0 0.9 1.8 2.7 -1.5 4.5 10.5 16.5 22.5 28.5 34.5 weeks 42.3 43.2 44.1 45 45.9 46.8 47.7 (b) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the p decimal places. (c) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within week of the population m decimal pla
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