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Explanation & Answer
First, find the critical value of Z for an 85% confidence interval:
Norm.inv ( 0.925, 0, 1 ) = 1.44
Remember that the margin of error will be given by Z_crit x standard error:
Margin of error = 1.44 x sd/sqrt(n)
Rearrange in terms of n:
sqrt(n) = 1.44 x sd / Margin of error
n = [ 1.44 x 1.7 / 0.11 ] ^2
= 495
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