Answered: machine produces metal disc. 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

A machine produces metal disc. The diameters of metal disc are normally distributed with mean 12.80 cm and standard deviation 0.35 cm. A new process has been introduced. In a random sample of 68 metal disc, the mean diameters of metal disc were found to be 12.83 cm.

a. Test whether the diameter of the metal disc has changed at 1% level of significance, using the critical value approach.

b. Calculate the p-value

c. Will your decision in part (a) change if the significance level is changed to 5o/o.

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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