Answered: Past data indicate that the variance of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Past data indicate that the variance of measurements made on sheet metal stampings by
experienced quality control inspectors is 0.18 (inch)2. Such measurements made by an
inexperienced inspector could have too large a variance (perhaps because of inability to read
instruments properly) or too small a variance (perhaps because unusually high or low
measurements are discarded). If a new inspector measures 101 stampings with variance of 0.13
(inch)2, test at the 0.05 level of significance whether the inspector is making satisfactory
measurements. Assume data is normally distributed.

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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