Probability that mean weight of loads is more than a range

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Q1) In particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with standard deviation of four pounds. If random sample of 30 lobster fishermen is chosen, determine the probability that their average catch is less than 31.5 pounds?

Q2) Mean weight of loads of coal placed in train cars by loading machine is 43.0 tons with standard deviation of 8.0 tons. Suppose that weight of loads placed in train cars by this loader are normally distributed, if random sample of 9 loads is selected for a weight check, determine the probability that mean weight of those loads is more than 40.60 tons.

Reference no: EM1321883

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Probability that mean weight of loads is more than a range : If random sample of 9 loads is selected for a weight check, determine the probability that mean weight of those loads is more than 40.60 tons.

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