Answered: divided into three groups of four…

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.

Obtain 95% confidence interval of difference between the mean sales
for the month in stores with display type II and display type III.

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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