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 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 39 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. What is the probability that one randomly selected individual found a job more than 25 weeks?
  4. For 39 unemployed individuals, find the probability that the average time that they found the next job is more than 25 weeks.
  5. For part d), is the assumption of normal necessary? No Yes

Solutions

Expert Solution

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(0, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(0, TRUE)" to find the probability.

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