SOLUTION: Suppose you want to estimate a population mean correct to within 0.25 with probability equal to 0.95. You do not know the population variance but you are given that the observation

Question 1149101: Suppose you want to estimate a population mean correct to within 0.25 with probability equal to 0.95. You do not know the population variance but you are given that the observations will range in value between 20 and 40. Then the approximate sample size that will produce the desired accuracy of the estimate is __________.
A)40
B)1537
C)39
D)1536

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
half-interval is z*sqrt(s)/sqrt(n)=0.25; If range is 20 sd is about 5
0.25=1.96*5/sqrt(n)
0.0625=3.8416*25/n, square everything
n=1536.64 and round up to 1537
B
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