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Card 17 / 31:
X ~ N (60, 9). Suppose that you form random samples of 25 from this distribution. Let X ¯ be the random variable of averages. Let ΣX be the random variable of sums. For parts c through f, sketch the graph, shade the region, label and scale the horizontal axis for X ¯ , and find the probability.
Sketch the distributions of X and X ¯ on the same graph.X ¯ ~ _____(_____,_____)P ( x ¯ < 60) = _____Find the 30 th percentile for the mean.P (56 < x ¯ < 62) = _____P (18 < x ¯ < 58) = _____Σx ~ _____(_____,_____)Find the minimum value for the upper quartile for the sum.P (1,400 < Σx < 1,550) = _____
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