In measuring the running time of the 100-meter race, an expert estimates that the standard deviation is 0.06 second.
How large a sample of measurements must we take in order to be
(a) 95% and (b) 99% confident that the error of his estimate will not exceed 0.01 second?
statistic problem
2009-02-07 11:16 pm
回答 (1)
2009-02-07 11:28 pm
✔ 最佳答案
s = 0.06How large a sample of measurements must we take in order to be
(a) 95% and (b) 99% confident that the error of his estimate will not exceed 0.01 second?
(a)
Z*s/√(n)<=0.01
1.96*0.06/√(n)<=0.01
n>=138.2976
We must take at least 139 samples
(b)
Z*s/√(n)<=0.01
2.58*0.06/√(n)<=0.01
n>=239.6304
We must take at least 240 samples
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