A leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 19.8 weeks. Assume that for the population of all unemployed individuals the populationmean length of unemployment is 19.8 weeks and that the population standard deviation is 5.9 weeks.Suppose you would like to select a random sample of 152 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is between 19 and 20.7.P(19 < x < 20.7) = 0.1153 0Find the probability that a sample of size n = 152 is randomly selected with a mean between 19 and 20.7.P(19 < x < 20.7) = 0.9244Enter your answers as numbers accurate to 4 decimal places. According to a study, the length of pregnancy has unknown distribution with a mean of 274 days and astandard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and letX be the average length of pregnancy for a random sample of size 11.1. Describe the probability distribution of X and state its parameters μ and σ:X~ unknownor (μ27✔ 0 σ= 14 02and find the probability that the length of pregnancy for a randomly selected female is more than 313days.0.0 X (Round the answer to 4 decimal places)Note: If it is not possible to compute, type "DNE"2. Explain why the Central Limit Theorem cannot be usedthe sample size is small (n<30) and the distribution of the original population is unknown

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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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2.44 ccording to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.07°F and a standard deviation of 0.67°F. Using Chebyshev's theorem, what do we know about the ercentage of healthy adults with body temperatures that are within 2 standard deviations of the mean? What are the minimum and maximum possible body temperatures that are within 2 standard deviations of the mean? Question He At least % of healthy adults have body temperatures within 2 standard deviations of 98.07°F. (Round to the nearest percent as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All parts 2 remaining MacBook Air %23 4 R E
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Find the probability that a single randomly selected value is between 19 and 20.7. P(19 < x < 20.7) = 0.1153 0 Find the probability that a sample of size n = 152 is randomly selected with a mean between 19 and 20.7. P(1920.7) = 0.9244