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Western lowland gorillas, whose main habitat is the central African continent, have a
Chapter 12, Problem AP4.24(choose chapter or problem)
Section I: Multiple Choice Choose the best answer.
Western lowland gorillas, whose main habitat is the central African continent, have a mean weight of 275 pounds with a standard deviation of 40 pounds. Capuchin monkeys, whose main habitat is Brazil and a few other parts of Latin America, have a mean weight of 6 pounds with a standard deviation of 1.1 pounds. Both weight distributions are approximately Normally distributed. If a particular western lowland gorilla is known to weigh 345 pounds, approximately how much would a capuchin monkey have to weigh, in pounds, to have the same standardized weight as the lowland gorilla?
(a) 4.08 (c) 7.93
(b) 7.27 (d) 8.20
(e) There is not enough information to determine the weight of a capuchin monkey.
Questions & Answers
QUESTION:
Section I: Multiple Choice Choose the best answer.
Western lowland gorillas, whose main habitat is the central African continent, have a mean weight of 275 pounds with a standard deviation of 40 pounds. Capuchin monkeys, whose main habitat is Brazil and a few other parts of Latin America, have a mean weight of 6 pounds with a standard deviation of 1.1 pounds. Both weight distributions are approximately Normally distributed. If a particular western lowland gorilla is known to weigh 345 pounds, approximately how much would a capuchin monkey have to weigh, in pounds, to have the same standardized weight as the lowland gorilla?
(a) 4.08 (c) 7.93
(b) 7.27 (d) 8.20
(e) There is not enough information to determine the weight of a capuchin monkey.
ANSWER:Step 1 of 3
The population mean weight of gorillas is pounds and the population standard deviation is pounds.
We know that a particular gorilla has a weight of .
We need to standardize the score for this particular gorilla by calculating the fraction of the difference of a weight of this gorilla and the population mean and the standard deviation , as follows
The required score is .