Answered: The heat evolved in calories per gram…

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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Question

The heat evolved in calories per gram of a cement mixture approximately normally distributed. The population mean is thought to be 85 and population standard deviation is 8. We wish to test Ho : µ=85 versus H1: µ≠ 85 with a sample of n=6 specimens. If the acceptance region is defined as 78 ≤ x ≤ 92, find the type II error probability β for the case when the true mean is 77.

a.)0.016044

b.)0.032089

c.)0.992847

d.)0.007153

e.)0.379729

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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