First, find the critical value of Z for a 99% confidence interval:
Norm.inv ( 0.995, 0, 1 ) = 2.576
Remember that the margin of error will be given by Z_crit x standard error:
Margin of error = 2.576 x sd/sqrt(n)
Rearrange in terms of n:
sqrt(n) = 2.56 x sd / Margin of error
n = [ 2.56 x 2.3 / 0.14 ] ^2
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