Question 1. A researcher wants to study the effect of a price change on the sales of various brands of a certain product. Assume the market is made up of four brands -W, X, Y and Z- and the price change (decrease) for brand W is introduced immediately after time tO. Assume every respondent buys exactly one unit of the product in each period. Data on number of respondents buying each brand in each period, based on a panel, are as follows: W Y W 175 25 100 25 25 to Y 25 50 50 25 Note: Confine your attention only to the data presented Assume the world starts at to after ti and the strategies of brands X, Y, and Z are unchanged between to and ti. and stops c) Which brand(s) other than W exhibited the highest loyalty rate? Show your calculations. d) Which of the brands X, Y, Z should be most worried about W's promotion? Show calculations. your

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
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Question 1.
A researcher wants to study the effect of a price change on the sales of various brands of a certain
product. Assume the market is made up of four brands - W, X, Y and Z- and the price change
(decrease) for brand W is introduced immediately after time t0. Assume every respondent buys
exactly one unit of the product in each period. Data on number of respondents buying each brand
in each period, based on a panel, are as follows:
Y
W
175
25
100
25
25
Y
25
50
50
25
Note: Confine your attention only to the data presented Assume the world starts at to and stops
after ti and the strategies of brands X, Y, and Z are unchanged between to and ti.
c) Which brand(s) other than W exhibited the highest loyalty rate? Show your calculations.
d) Which of the brands X Y, Z should be most worried about W's promotion? Show your
calculations.
to
Transcribed Image Text:Question 1. A researcher wants to study the effect of a price change on the sales of various brands of a certain product. Assume the market is made up of four brands - W, X, Y and Z- and the price change (decrease) for brand W is introduced immediately after time t0. Assume every respondent buys exactly one unit of the product in each period. Data on number of respondents buying each brand in each period, based on a panel, are as follows: Y W 175 25 100 25 25 Y 25 50 50 25 Note: Confine your attention only to the data presented Assume the world starts at to and stops after ti and the strategies of brands X, Y, and Z are unchanged between to and ti. c) Which brand(s) other than W exhibited the highest loyalty rate? Show your calculations. d) Which of the brands X Y, Z should be most worried about W's promotion? Show your calculations. to
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