SOLUTION: A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of soda dispensed has a mean of 15.85 oz and a standard deviation of 9.5 oz. A sample of 12 cup
Algebra ->
Probability-and-statistics
-> SOLUTION: A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of soda dispensed has a mean of 15.85 oz and a standard deviation of 9.5 oz. A sample of 12 cup
Log On
Question 1192785: A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of soda dispensed has a mean of 15.85 oz and a standard deviation of 9.5 oz. A sample of 12 cups is taken. What is the probability that the sample mean is between 14.75 and 22.5? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sigma/sqrt(n)
z=(14.75-15.85)/9.5/sqrt(12)=-1.10*sqrt(12)/9.5=-0.40
z=(22.5-15.85)/9.5/sqrt(12)=2.42
that probability is 0.6477.
The sd of the sample mean is 9.5/sqrt(12)=2.74
There is rounding of the z value above. If done on the calculator without rounding, the probability is 0.6481.
