Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 73 tons of coal into each car. The actual weights of coal loaded into each car are
normally distributed, with mean ? = 73 tons and standard deviation ? = 1.4 ton.
Suppose the weight of coal in 44 cars selected at random had an average x of less than 72.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why?
A. Yes, the probability that this deviation is random is very small.
B. Yes, the probability that this deviation is random is very large.
C. No, the probability that this deviation is random is very small.
D. No, the probability that this deviation is random is very large.
Extracted text: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 73 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 73 tons and standard deviation o = 1.4 ton.