According to a food and drug administration (fda) study, a cup of coffee contains an average of 115 mg of caffeine, with the amount per cup ranging from 60-180 mg. suppose u want to repeat the fda experiment in order to obtain an estimate of the mean caffeine content in a cup of coffee correct to withing 5 mg with 95% confidence. how many cups of coffee would have be included in your sample?

139

Step-by-step explanation:

As per given , we have

The amount of caffeine per cup is ranging from 60-180 mg.

Range = Maximum - Minimum = 180 -60 =12

According to Range -rule ,

Standard deviation =

Formula for sample size : , where z* is critical z value and E is margin of error.

By z-table , the critical z-value for 95% confidence interval = 1.96

E= 5

Put all values in formula , we get

Hence, 139 cups of coffee would have be included in the sample.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: