Answered: The ultimate tensile strength of an…

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 ultimate tensile strength of an aircraft bolt has mean 20 kN and is believed to be (at least

approximately) normally distributed. The manufacturer wishes to control the quality of the

aircraft bolt and measures the strength of 10 bolt samples. A sample standard deviation of

2 kN is observed, and it is assumed that the measurements are independent. Based on the

information provided, for any ten randomly selected independent bolt samples,

a) the sample mean will not be less than what value with 95% probability?

b) what is the probability that the sample mean exceeds 18 kN (suppose that specifications

for the aircraft bolt require that the ultimate tensile strength be at least 18 kN)?

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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