A company that manufactures toothpaste is studying five different package design
ID: 3209161 • Letter: A
Question
A company that manufactures toothpaste is studying five different package designs.
A) Assuming that one design is just likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs( to 2 decimals)?
B) In an actual study, 100 consumers were asked to pick the design they preferred. The following dta were obtained.
Do the data confirm the belief that one design is just as likely to be selected as another?
Yes, the data confirm this belef
No, the data do not confirm this belief
C) Based on the actual study, what probability would you assign to each package design?
D) Which package design has the highest probability of selection by a customer?
Design 1
Design 2
Design3
Design4
Design5
None, they all have the same probability
A company that manufactures toothpaste is studying five different package designs. a. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs to 2 decimals)? b. In an actual study, 100 consumers were asked to pick the design they preferred. The following data were obtained. Excel File: data04-13.xls Number of Design Times Preferred 15 30 40 10 Do the data confirm the belief that one design is just as likely to be selected as another? No, the data do not confirm this belief c. Based on the actual study, what probability would you assign to each package design to 2 decimals)? Design Probability d. Which package design has the highest probability of selection by a customer?Explanation / Answer
a. If all designs are equally preferred,
probability for each design = 1/5 = 0.20
b. As the number of times preferred is different for different designs, the data does not confirm that they have the same preferences.
Answer: No, the data do not confirm this belief
c. Probabilities:
Design 1 = 5/100 = 0.05
Design 2 = 15/100 = 0.15
Design3 = 30/100 = 0.30
Design4 = 40/100 = 0.40
Design5 = 10/100 = 0.10
d. Design 4 has the highest probability, and hence, the highest probability of selection by a customer.
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