Question: 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 75 tons of coal into each car. Naturally, the loader does not load precisely 75 tons of coal into every train car. Indeed, it has been found that the actual weights of coal loaded into each car are normally distributed with mean  = 75 tons and standard deviation  = 0.8 ton.

1. Suppose that the weight of coal in one car was less than 74.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Consider the probability associated with this event and present your answer in the space below . (5pts)

b. Suppose that the weight of coal in 20 cars selected at random had an average weight of less than 74.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Consider the probability associated with this event and present your answer in the space below . (5pts)

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document