A leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 30 weeks. Assume that the length of unemployment is normally distributed with populationmean of 30 weeks and the population standard deviation of 7 weeks. Suppose you would like to select arandom sample of 36 unemployed individuals for a follow-up study. Round the answers of followingquestions to 4 decimal places.a. What is the distribution of X? X - N( 30b. What is the distribution of ? N( 30c. What is the probability that one randomly selected individual found the next job is less than 31weeks?7or ord. For 36 unemployed individuals, find the probability that the average time that they found the nextjob is less than 31 weeks.e. For part d), is the assumption of normal necessary? Yes No o

given data normal distribution μ = 30σ = 7n = 36

Answered: A leading magazine (like Barron's)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following information is slightly different for each student but very close to the actual real data. Assume the number of years in prison before being exonerated is normally distributed for both white and black males. The average amount of time Black males are in prison before being exonerated is 13.7 years with a population standard deviation of 9.8 years. The average amount of time White male are in prison before being exonerated is 9.2 years with a population standard deviation of 8.6. Give all answers to at least 2 decimal places.a) If a Black male is at the 70th percentile for years in prison before being exonerated, find the time the person has been in prison. years
Suppose that the heights of adult men in the United States are normally distributed with a mean of 69.5 inches and a standard deviation of 2.5 inches. What proportion of the adult men in the United States are less than 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
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Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
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Exhibit 9-41 A random sample of 9 students selected from the student body of a high school had an average age of 14 years. We want to determine if the average age of all the students at the high school is significantly different from 13. Assume the distribution of the population of ages is normal with a standard deviation of 1 year. Refer to Exhibit 9-41. What is the p-value for this test? 0.00135 0.0027 1.96 0.0045

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