Question: You are told that X ~ N (X = 8, 2x = 36). Based on a sample of 25 observations, you found that = 7.5.

You are told that X ~ N (µX = 8, σ2x = 36). Based on a sample of 25 observations, you found that = 7.5.
a. What is the sampling distribution of ?
b. What is the probability of obtaining an = 7.5 or less?
c. From your answer in part (b) of this problem, could such a sample value have come from the preceding population?

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