X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution.
Let X be the random variable of averages.
Part (a)
Sketch the distributions of X and X-bar on the same graph.Part (b)
Give the distribution of X-bar.X ~
Part (c)
Sketch the graph, shade the region, label and scale the horizontal axis forX-bar, and find the probability. (Round your answer to four decimal places.)
P(X-bar < 50) =
Part (d)
Find the 10th percentile. (Round your answer to two decimal places.)
Part (e)
Sketch the graph, shade the region, label and scale the horizontal axis forX-bar, and find the probability. (Round your answer to four decimal places.)
P(46 < X-bar < 52) =
Part (f)
Sketch the graph, shade the region, label and scale the horizontal axis for X-bar,P(17 < X-bar < 49) =
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