Question 315232
a) Average={{{mu=3.3048}}}
Std. Deviation={{{sigma=0.1320}}}
{{{z(90)=1.645}}}
Sample Size={{{N=10}}}
Confidence Interval={{{mu +- (1.645*sigma)/sqrt(N)=3.3048 +- (1.645*0.1320)/sqrt(10)}}}=({{{3.236}}},{{{3.373}}})
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b) {{{(1.645*sigma)/sqrt(N)=0.03}}}
{{{(1.645*sigma)/0.03=sqrt(N)}}}
{{{N=((1.645*sigma)/0.03)^2=((1.645*0.1320)/0.03)^2=52.4}}}
Round up to {{{53}}} samples.
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c) Precision of the amount of ingredients in the mix, humidity and temperature control, etc.