SOLUTION: A study of peach trees found that the average number of peaches per tree was 525. The standard deviation of the population is 105 peaches per tree. A scientist wishes to find the 8

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Question 1113822: A study of peach trees found that the average number of peaches per tree was 525. The standard deviation of the population is 105 peaches per tree. A scientist wishes to find the 80% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 12 peaches per tree?

A) 77

B)55

C)83

D) 126

Answer by stanbon(75887) About Me  (Show Source):
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A study of peach trees found that the average number of peaches per tree was 525. The standard deviation of the population is 105 peaches per tree. A scientist wishes to find the 80% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 12 peaches per tree?
Since ME = z*s/sqrt(n)
n = [z*s/ME]^2 = [1.2816*105/12]^2
n = 126 when rounded up
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Cheers,
Stan H.
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A) 77
B)55
C)83
D) 126