Breaking Strength of Steel Cable The average breaking strength of a certain brand of steel cable is2000pounds, with a standard deviation of100pounds. A sample of20cables is selected and tested. Find the sample mean that will cut off the upper92%of all samples of size20taken from the population. Assume the variable is normally distributed. Round intermediatez-value calculations to2decimal places and round the final answer to at least2decimal places.The sample mean that will cut off the upper 92% of all samples of size 20 is _____ pounds.

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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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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

cables is selected and tested. Find the sample mean that will cut off the upper

92%

of all samples of size

taken from the population. Assume the variable is normally distributed. Round intermediate

-value calculations to

decimal places and round the final answer to at least

decimal places.

The sample mean that will cut off the upper 92% 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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