Answered: A quality analyst conducts a…

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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A quality analyst conducts a small-scale study to compare the average capacity of two brands of AA batteries (A and B). A random sample of 11 batteries of Brand A has an average capacity of 851 mAh (milliampere-hours), and an independent random sample of 10 batteries of Brand B has an average capacity of 872 mAh. The sample standard deviations are 26.8 mAh and 31.9 mAh, respectively. It is assumed that battery capacity is normally distributed for both brands and the two distributions have the same variance. Find the pooled sample estimator of the true population variance. (Provide your answer as a number rounded to 2 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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