The sample size that gives 99% confidence level and estimate will be within 3 ounces is 0.7386[tex](standard deviation)^{2}[/tex].
Given confidence level 99% and margin of error is 3 ounces of true mean.
Margin of error is the difference between the actual values and the calculated value of mean.
Sample size is the number of items taken from the population as a sample for research.
We have to find the sample size.
First we have to find the z value for the corresponding p value of 0.99.
z value=2.58
Margin of error=z*σ/[tex]\sqrt{n}[/tex]
3=2.58σ/[tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex]=2.58/3 σ
Squaring both sides
n=[tex]2.58^{2}[/tex]σσ
Hence the sample size needed is 2.58 ([tex](standard deviation)^{2}[/tex].
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