A worldwide organization of academics claims that the mean IQ score ofits members is 112, with a standard deviation of 17. A randomly selectedgroup of 35 members of this organization is tested, and the results reveathat the mean IQ score in this sample is 116.4.If the organization's claim is correct, what is the probability of having asample mean of 116.4 or less for a random sample of this size?Carry your intermediate computations to at least four decimal places.Round your answer to at least three decimal places.0XŚ SLICE NAMERandom Variables and DistributionsTOPIC NAMECentral limit theorem: Sample meanSample; Round like 0.9059= 0.906

Answered: worldwide organization of academics…

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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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would be greater than 142.6 millimeters? Round your answer to four decimal places.
The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 13.3 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 13.3 weeks and that the population standard deviation is 8.5 weeks. Suppose you would like to select a random sample of 198 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is between 12.3 and 12.9.P(12.3 < X < 12.9) = Find the probability that a sample of size n=198n=198 is randomly selected with a mean between 12.3 and 12.9.P(12.3 < M < 12.9) =
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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 35.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35.2 weeks and that the population standard deviation is 5.6 weeks. Suppose you would like to select a random sample of 29 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 33.1 and 33.8. P(33.1 < X < 33.8) = 0.0475 29 is Find the probability that a sample of size n randomly selected with a mean between 33.1 and 33.8. Р(3.1 < М < 33.8) - Enter your answers as numbers accurate to 4 decimal places.
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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 19.8 weeks. Assume that for the population of all unemployed individuals the population mean 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 or Find the probability that a sample of size n = 152 is randomly selected with a mean between 19 and 20.7. P(19 << 20.7) = 0.9244 X Enter your answers as numbers accurate to 4 decimal places.
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