4G ll s8:56 AMPS4_STAT2.do... 0STAT 2Applied StatisticsProblem Set 4 (Due on August 13, 2021)Solve for the following. Show your solutions.1. Find the z-score for the following means taken from a population with mean 10 andstandard deviation 2:a. X= 8, n = 12b. X= 8, n = 30c. X= 20, n = 4d. X= 20, n = 162. For a population with a mean of 100 and standard deviation of 16, what is the probabilitythat a random sample of size 4 will have a mean between 106 and 126?... STAT 2Applied StatisticsProblem Set 3 (Due on August 13, 2021)Solve for the following. Show your solutions.1. Calculate z-scores for the following raw scores taken from a population with a mean of100 and standard deviation of 16:112, 109, 56, 88, 135, 992. Calculate the raw score for the following z-scores from a distribution with a mean of 15and standard deviation of 3:a. 4.0b. 2.2C. -1.3d. 0.463. The heights of men in the Philippines are normally distributed with a mean of 69.1 inchesand a standard deviation of 2.9 inches. What proportion of men are taller than 6 feet (72inches)?4. What proportion of the area under the normal curve is greater than z = 1.65?5. Find the area between z = 1.32 and z = 2.54

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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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1. Find the z-score for the following means taken from a population with mean 10 and standard deviation 2: a. X= 8, n = 12 b. X= 8, n = 30 c. X= 20, n = 4