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5. You have a random sample of 1,627 for the random variable Xi. The sample mean...

5. You have a random sample of 1,627 for the random variable Xi. The sample mean is 26.2 and the sample standard deviation is 39.1. Define µ as the population mean for Xi. Assume that µ = 20. (LO4) a. Sketch the distribution of X ̅. b. Graphically illustrate the p-value associated with X̅= 26.2.

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Answer #1

The required distribution of sample mean (xbar) is

Here, the variable X is continuous. Hence, the area at a fixed value of X in the density plot is zero. Hence, graphically illustrate the p-value associated with X̅= 26.2 does not exist.

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