Canada bauxite ore is moved into things;;; When functioning properly, the actual weights of ore loaded into each car by the filling equipment at the mine are approximately normally distributed with a mean of 70 tons and a standard deviation of 0.9 ton. If the mean is greater that 70 tons, the loading mechanism is overfilling.
If the filling equipment is functioning properly, what is the probability that the weight of the ore in a randomly selected car will be 70.7 tons or more? Show your work.
Suppose that the weight of the ore in a randomly selected car is 70.7 tons. Would that fact make you suspect that the loading mechanism is overfilling the cars? Justify your answer.
If the filling equipment is functioning properly, what is the probability that a random sample of 10 cars will have a mean ore weight of 70.7 tons or more? Show your work.
Based on your answer in part (c), if a random sample of 10 cars had a mean ore weight of 70.7 tons, would you suspect the loading mechanism was overfilling the cars? Justify your answer.
Suppouse that the distribution of adult weight is somewhat right-skewed with a mean of 175 pounds and a standard deviation of 25 pounds. A large elaveator has a weight limit of 7200 pounds if 40 adults enter what is the probability it exceeds the limit?
