At an archaeological site 130 skeletons are found and their heights are measured and found to be approximately normal with mean 172 centimeters and variance 81. At a nearby site, five skeletons are discovered and it is found that the heights of exactly three of them are above 185 cm. Based on this information is it reasonable to assume that the second group of skeletons belongs to the same family as the first group of skeletons? Provide probabilities to support your answer

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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9. At an archaeological site 130 skeletons are found and their heights are measured and
found to be approximately normal with mean 172 centimeters and variance 81. At a
nearby site, five skeletons are discovered and it is found that the heights of exactly
three of them are above 185 cm. Based on this information is it reasonable to assume
that the second group of skeletons belongs to the same family as the first group of
skeletons? Provide probabilities to support your answer.
Transcribed Image Text:9. At an archaeological site 130 skeletons are found and their heights are measured and found to be approximately normal with mean 172 centimeters and variance 81. At a nearby site, five skeletons are discovered and it is found that the heights of exactly three of them are above 185 cm. Based on this information is it reasonable to assume that the second group of skeletons belongs to the same family as the first group of skeletons? Provide probabilities to support your answer.
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