Government regulations indicate that the total weight of cargo in a certain kind of
airplane cannot exceed 310 kg. On a particular day a plane is loaded with 100 boxes of a
particular item only. Historically, the weight distribution for the individual boxes of this
variety has a mean of 3.2 kg and standard deviation 0.4 kg.
a. Interpret the meaning of the “a mean of 3.2 kg” in terms of repeated sampling.
b. What is the distribution of the sample mean weight for the boxes (give the name
of the distribution and appropriate parameter values)?
c. What is the probability that the government regulation is met?
If anyone could perhaps explain how you derive the answer for each question, that would be very much appreciated.
airplane cannot exceed 310 kg. On a particular day a plane is loaded with 100 boxes of a
particular item only. Historically, the weight distribution for the individual boxes of this
variety has a mean of 3.2 kg and standard deviation 0.4 kg.
a. Interpret the meaning of the “a mean of 3.2 kg” in terms of repeated sampling.
b. What is the distribution of the sample mean weight for the boxes (give the name
of the distribution and appropriate parameter values)?
c. What is the probability that the government regulation is met?
If anyone could perhaps explain how you derive the answer for each question, that would be very much appreciated.