Pretend you are in charge of a packaging equipment company that is filling boxes of cereal. From past experience we know the population's mean weight of the filled boxes is 300 grams (and we know the distribution of grams is approximately normal). The population standard deviation is given as 24 grams. You are told to randomly select a sample of 144 boxes. You need to determine the probability that the sample of the 144 boxes will have a sample mean below 294. The probability will be between...
A. 0 and .010
B. .011 and .043
C. .044 and .150
D. .151 and .222
E. .223 and 1.0