Answered: of her customers. In particular, she…

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

The marketing manager of a sub shop chain is in the process of examining some of the demographic characteristics of her customers. In particular, she would like to investigate the belief that the ages of the customers of sub shops, hamburger emporiums, and fast-food chicken restaurants are different. The ages of eight randomly selected customers of each of the restaurants are recorded and listed below. From previous analyses we know that the ages are normally distributed with equal variances for each group.

True or False: It can be inferred at the 5% significance level that there are differences in ages among the customers of the three restaurants.

Subs
23
19
25
17
36
25
28
31
Error
Total
Customers' Ages
Hamburger
26
Source of Variation
Treatments
20
18
35
33
25
19
17
Chicken
25
28
36
23
39
27
38
31
SS
df
203.583
2
863.750 21
1067.333 23
MS
101.792
41.131
F
2.475
P-value
0.1084
F critical
3.467

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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