SOLUTION: In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of e
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Question 316016: In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?
A. 31
B. 39
C. 50
D. 166
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds.
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How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?
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n = [z*s/E]^2
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n = [1.2816*1500/350]^2 = 5.4924^2 = 30.16
n = 31 when rounded up
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Cheers,
Stan H.
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A. 31
B. 39
C. 50
D. 166
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