# You may need to use the appropriate appendix table or

Last updated: 11/21/2023

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 5 weeks Suppose you would like to select a sample of 55 unemployed individuals for a follow up study a Show the sampling distribution of x the sample mean average for a sample of 55 unemployed individuals O 52 9 53 6 54 3 55 55 7 56 4 57 1 1 5 6 5 11 5 16 5 21 5 26 5 31 5 weeks weeks 2 1 1 4 0 7 0 0 7 1 4 2 1 weeks 14 4 15 1 15 8 16 5 17 2 17 9 18 6 c What is the probability that a simple random sample of 5 unemployed individuals will provide a sample mean within weeks 1 b What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean Round your answer to four decimal places 1 week of the population mean Round your answer to four decimal 2