Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken.What are the mean and standard deviation values for the sample taken? What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks? What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks? Find the value of C, if P (Z ≥ C) = 0.015

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Answered: Megah corporation gives each of its…

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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Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken.
1. What are the mean and standard deviation values for the sample taken?

What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks?

What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks?

Find the value of C, if P (Z ≥ C) = 0.015

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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