<PRE><B>Question 1092192</B>
Best estimate of population mean is the sample mean, or $61.00.
The SE is $5.66/sqrt(22)=1.207
CI half interval is +/- tdf=21,0.99,*SE
that is +/- 2.518*1.207=3.04
the CI is mean +/-interval or (57.96, 64.04)
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For allowable error of 1
t*SE has to be 1
use z first 1.96*5.66/sqrt(n)=1
sqrt(n)=1.96*5.66
square both sides
n=123.06 or 124.  Z can be used here.</PRE>