Answered: A mixture of pulverized fuel ash and…

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

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m². The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with ? = 65. Let ? denote the true average compressive strength.

What is the probability distribution of the test statistic when ? = 1,350 and n = 13?

The test statistic has a binomial distribution.The test statistic has a gamma distribution. The test statistic has an exponential distribution.The test statistic has a normal distribution.

State the mean and standard deviation (in KN/m²) of the test statistic. (Round your standard deviation to three decimal places.)

mean KN/m²standard deviation KN/m²

For a test with ? = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact ? = 1,350 (a type II error)? (Round your answer to four decimal places.)

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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