A company that manufactures toothpaste is studying five different package designs. Assuming that one design is…
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Question “A company that manufactures toothpaste is studying five different package designs. Assuming that one design is…”
package designs. 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? In an
actual experiment, 100 consumers were asked to pick the design they
preferred. The following data were obtained. Do the data appear to
confirm the belief that one design is just as likely to be selected
as another? Explain
design number of times preferred
1 5
2 15
3 30
4 40
5 10
Answer
We assume one design will be chosen by a customer as much as any other design.
the probability for everyone is equal = 1/5
But, according to the actual experiment:
P (package 1 is chosen) = 5/100 = 0.05
P (package 2 is chosen) = 15/100 = 0.15
P (package 3 is chosen ) = 30/100 = 0.03
P (package 4 is chosen ) = 40/100 = 0.04
P (package 5 is chosen) = 10/100 = 0.01
We can see clearly that the probabilities are different based on the 100-sample experiment.
The data doesn’t support the belief that one design will be chosen by a customer as much as another design.
Conclusion
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