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A random sample of n = 64 observations is drawn from the population with mean equal to 20 and standard deviation equal to 16. a. Give mean and standard deviation of (repeated) sampling distribution of x. b. Explain the shape of sampling distribution of x. Does the answer depend on sample size? C. Compute standard normal z-score corresponding to value of x = 16. d. Compute standard normal z-score corresponding to value of x = 23. e. Determine P(x < 16). F. Determine P(x > 23). G. Determine P(16 < x < 23).

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