Answered: A marketing group is trying to improve…

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 marketing group is trying to improve sales for a clothing retail store, but first they are trying to determine the age demographics of customers based on store membership profiles that state the date of birth on it. The age of customers/members is normally distributed with a mean of 26.7 years and a standard deviation of 3.9 years.

How old should the marketing group expect the 75 th percentile of the store customers to be based on their membership date of birth?

You will have to use the formula for z and the z distribution (normal table) to solve this problem. Be sure to include a diagram.

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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