SOLUTION: The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed, if a sample

Algebra ->  Probability-and-statistics -> SOLUTION: The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed, if a sample       Log On


   



Question 1182337: The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed, if a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams. (Please answer in decimal and round the answer to three decimal places)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z>(x bar-mean)/sigma/sqrt(n)
z>(220-215)/15/sqrt(25)
>5*5/15=5/3
probability is 0.0478 or 0.048