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The scores on a state's ACT test in a recent year averaged out to 22.3 with...

The scores on a state's ACT test in a recent year averaged out to 22.3 with a standard deviation of 6.2.

A-how likely is it that a single student test-taker randomly chosen in the state earned a score of 27?
B-How likely is it that a student scored 27 or higher?

C- A simple random sample of 16 students took the test. What are the mean and standard deviation of the sampling distribution of these 16 scores?

D- What is the probability that the mean of these 16 scores is above 27 or higher?

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