14. IQ scores form a normal distribution with a mean ofu = 100 and a standard deviation of o = 15. Whatis the probability of obtaining a sample mean greaterthan M = 103,%3Da. for a random sample of n = 9 people?b. for a random sample of n = 25 people?c. for a random sample of n = 100 people?

Solution: 14. a. Let X be the IQ scores. From the given information, X follows normal distribution…

Answered: 14. IQ scores form a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Q1. Given a normal distribution with mean = 100 and standard deviation = 10. What is theprobability that a sample of 25 (n) has a mean (X) that is:a. less than 95?b. between 95 and 97.5?c. above 102.2?d. There is a 65% chance that X is above what value?
There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?
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14. IQ test scores are standardized to produce a normal distribution with a mean of u = 100 and a standard deviation of o =15. Find the proportion of the population in each of the following IQ categories. a. Genius or near genius: IQ greater than 140 b. Very superior intelligence: IQ between 120 and 140 c. Average or normal intelligence: IQ between 90and 109 %D debit BankMobile
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14. IQ scores form a normal distribution with a mean of u = 100 and a standard deviation of o = 15. What is the probability of obtaining a sample mean greater than M = 103, %3D a. for a random sample of n = 9 people? b. for a random sample of n = 25 people? c. for a random sample of n = 100 people?