A 99% confidence interval for a population mean based on a sample of size 64 is computed to be (16.3, 18.7). How large a sample is needed so that a 99% confidence interval will specify the mean to within ±1.0?
What will be an ideal response?
Let n be the required sample size.
The 99% confidence interval based on 64 observations has width ±1.2.
Therefore 
Now n satisfies the equation 
Solving for n yields n = 93.
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