Answered: In order to conduct the study, 12 chain…

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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In order to conduct the study, 12 chain stores were randomly selected and
divided into three groups of four stores. Strategy 1 was used in four stores,
strategy 2 in four others, and strategy 3 in the remaining four stores. The
allocation of strategy to stores was made randomly. The amount of sales (in
RM 000’s) during a month at each of the twelve stores were recorded. It is
known that the monthly sales in all stores are approximately normally
distributed.

Test whether there is a difference in sales between stores with different
advertising strategies at 5% significance level.

Strategy III
(prizes for
purchases above
certain amount)
Strategy I
(Voucher)
Strategy II
(Discounts)
Observation 1
96
135
160
Observation 2
129
131
150
Observation 3
135
129
148
Observation 4
115
120
127
Mean
118.75
128.75
146.25
Standard
Deviation
17.3277
6.3443
13.8654
Source of Variation
Treatment
Total
SS
1550
3148.25

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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