Answered: Breaking Strength of Cable A special…

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 Cable A special cable has a breaking strength of

800 pounds. The standard deviation of the population is 12 pounds. A researcher selects a sample of 19 cables and finds that the average breaking strength is 795 pounds. Can he reject the claim that the breaking strength is 800 pounds? Use the P-value method with alpha= 0.05 level of significance. Assume that the variable is normally distributed. Use a graphing calculator.

Find the P-value. Round the answer to at least 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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