Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed indiv length of unemployment is 17.5 weeks and that the population standard deviation is 4 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 53.5 54 54.5 55 55.5 56 36.5 16 165 17 17.5 18 18.5 19 weeks weeks @O 5.5 9.5 13.5 17.5 21.5 255 295 -15-1-05 005 1 13 weeks weeks @

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean
length of unemployment is 17.5 weeks and that the population standard deviation is 4 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
53.5 54 54.5 55 55.5 56 56.5
16 16.5 17 17.5 18 18.5 19
weeks
weeks
DO
00
5.5 9.5 13.5 17.5 21.5 25.5 29.5
-1.5 -1-0.5 0
05 1 15
weeks
weeks
Transcribed Image Text:Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 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 53.5 54 54.5 55 55.5 56 56.5 16 16.5 17 17.5 18 18.5 19 weeks weeks DO 00 5.5 9.5 13.5 17.5 21.5 25.5 29.5 -1.5 -1-0.5 0 05 1 15 weeks weeks
uce of
(b) What is the probability that a simple random sample of SS unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to
four decimal places.)
를
week of the population mean? (Round your answer to
(c) What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within
four decimal places)
Transcribed Image Text:uce of (b) What is the probability that a simple random sample of SS unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.) 를 week of the population mean? (Round your answer to (c) What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within four decimal places)
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