SOLUTION: lb) What is the probability that the sample mean is between 14.75 and 22.5? 1. A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of soda dispe

Question 1192875: lb) What is the probability that the sample mean is between 14.75 and 22.5?
1. 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.
la) What is the probability that the sample mean is at most 11.25?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the first is z between (14.75-15.85)/9.5/sqrt(12)=-0.401 and (22.5-15.85)/9.5/sqrt(12)=2.74 That probability is 0.6527
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That is z< (11.25-15.85)/9.5/sqrt(12)=-4.60*sqrt(12)/9.5=-1.68
probability is 0.0465
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