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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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