Statistic Questions?

Question

Coke cans are filled with 12 ounces of soda with a standard deviation of 0.11 oz. Find the probability that in a sample of 49 cans, the mean will be greater than 12.10 ounces (profit waste).

Answer 1

mean = 12, standard deviation = .11 N=49

find probability in a sample of 49 cans mean is greater than 12.10 ounces

calculate the z score for 12.10

z = (12.1-12)(.11)/sqr49 = .1(.11)/7 = .11/7 = about .057

find the area under the normal curve from z = 0 to .057

Area = .52733

subtract from 1

P(x>12.10) = 1-.52733 = .47267 = about 47.27%