Question
In: Statistics and Probability
A leading magazine (like Barron's) reported at one time that the average number of weeks an...
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that the length of unemployment is normally distributed with population mean of 30 weeks and the population standard deviation of 6 weeks. Suppose you would like to select a random sample of 8 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places.
- What is the distribution of XX? XX ~ N(,)
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- What is the probability that one randomly selected individual found a job more than 28 weeks?
- For 8 unemployed individuals, find the probability that the average time that they found the next job is more than 28 weeks.
- For part d), is the assumption of normal necessary?
Solutions
Expert Solution
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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.33, TRUE)" to find the probability.
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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.94, TRUE)" to find the probability.
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orchestra answered 1 year agoRelated Solutions
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