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statistics.. URGENT!! PLZ!!

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In a learning experiment, untrained mice are placed in a maze and the time required for each mouse to exit the maze is recorded. The average time for untrained mice to exit the maze is ยต = 50 seconds and the standard deviation of their times is ? = 16 seconds. 64 randomly selected untrained mice are placed in the maze and the time necessary to exit the maze is recorded for each.

a) Completely describe the sampling distribution of the sample mean.

b) What is the probability that the sample mean differs from the population mean by more than 3?

c) If one mouse is selected at random, what is the probability that the time necessary to exit the maze differs from the population mean by more than 3?

d) Answering (b) and (c) do you have to make any assumptions? Explain why or why not.

e) If your random sample actually produced a sample mean of 85 seconds, would you consider this unusual? What conclusion might you draw?

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