Homework SourseThe amount of milk placed in cartons by filling machine has
The amount of milk placed in cartons by filling machine has approximation of normal distribution. The mean is 64.3 ounces and standard deviation of 0.12 ounces. Calculate probability that a carton will fill have less than 64 ounces.
Solution
We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as
x = critical value = 64
u = mean = 64.3
s = standard deviation = 0.12
Thus,
z = (x - u) / s = -2.5
Thus, using a table/technology, the left tailed area of this is
P(z > -2.5 ) = 0.006209665 [ANSWER]
