Answered: Breaking Strength of Steel Cable The…

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

Breaking Strength of Steel Cable The average breaking strength of a certain brand of steel cable is

2000pounds, with a standard deviation of 100pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 91% of all samples of size 20 taken from the population. Assume the variable is normally distributed. Round intermediate z-value calculations to 2 decimal places and round the final answer to at least 2 decimal places.

The sample mean that will cut off the upper

91% of all samples of size 20 is ____ pounds.

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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