Answered: A marked researcher working for a large…

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 marked researcher working for a large shoe retailer wants to estimate the population mean length of customers' feet. He knows from experience that the population is normally distributed with the variance. He wants to develop a 98% confidence interval to estimate this population mean, but he has decided that this margin of error can be no more than ±0.05 units ( total width of the of this interval must be more than 0.05+0.05=0.1)

Determine the size of the sample he would need to collect to obtain this level of precision in his 98% confidence interval for the population mean foot length of customers.

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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