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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 44EQ
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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
Transcribed Image Text: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
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