Concept explainers
(a)
To find:The probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample.
(a)
Answer to Problem 5E
The probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample is
Explanation of Solution
Given information:
Proportion of red jelly beans in the child mix = 30%
Proportion of red jelly beans in the adult mix = 15%
Random samples of jelly beans taken from the Child Mix = 50
Random samples of jelly beans taken from the Adult Mix = 100
Calculation:
Red jelly beans in bags for children and
Are at least
The standard deviation is:
Hence,
The probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample is
(b)
To Explain:The Child and Adult samples contain an equal proportion of red jelly beans. Based onresult in part (a)give reason to doubt the company's claim.
(b)
Answer to Problem 5E
Yes the company claim can be doubted.
Explanation of Solution
Yes, it is doubted the company's claim. From part (a), the probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample is 0.0212 . That is, there is only a
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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Fundamentals of Statistics (5th Edition)
Essentials of Statistics (6th Edition)
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Statistics: The Art and Science of Learning from Data (4th Edition)
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