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20. A certain standardized test has a mean of = 120 and a standard deviation of = 30. You choose a SRS of 36 students

20. A certain standardized test has a mean of = 120 and a standard deviation of = 30. You choose a SRS of 36 students to take the test. Suppose you repeat this sampling many times.

A. What is the mean and the standard deviation of the sampling distribution of x-bar?

B. What is the probability that a randomly selected student will score higher than 110 on the test?

C. Which law or theorem justifies our assumption that this sampling distribution will be approximately normal? Explain.

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