A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 13 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. he distabution b. What is the distribution of cl a c. What is the probability that one randomly selected individual found the next job is less than 24 weeks? d. For 13 unemployed individuals, find the probability that the average time that they found the next job is less than 24 weeks. e. For part d), is the assumption of normal necessary? O NoO Yes

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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is
unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population
mean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a
random sample of 13 unemployed individuals for a follow-up study. Round the answers of following
questions to 4 decimal places.
a.What
he distribu
of X? X
b. What is the distribution of N
c. What is the probability that one randomly selected individual found the next job is less than 24
weeks?
d. For 13 unemployed individuals, find the probability that the average time that they found the next
job is less than 24 weeks.
e. For part d), is the assumption of normal necessary? O NoO Yes
Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 13 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a.What he distribu of X? X b. What is the distribution of N c. What is the probability that one randomly selected individual found the next job is less than 24 weeks? d. For 13 unemployed individuals, find the probability that the average time that they found the next job is less than 24 weeks. e. For part d), is the assumption of normal necessary? O NoO Yes
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