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math171 lab6 3-6-08

math171 lab6 3-6-08 - 0.212 4 The estimates above are very...

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Lab 6 I. 1. 2. Y has a skewed distribution rather than a uniform distribution. This is not a Normal distribution, because the distribution is not bell-shaped. As the value of Y increases, the bar heights tend to increase. The reason for this is that the square root of a value between 0 and 1 will always be greater than the value itself. Thus, the distribution is shifted toward the right, but it is cut off at 1. 3. The mean of Y is about 0.67, with a standard deviation of
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Unformatted text preview: 0.212. 4. The estimates above are very close to the exact values, especially the mean. II. 1. Exact mean: 2/3. Exact SD: 1/√90 n Exact mean Mean (YBAR) Exact SD SD (YBAR) Exact variance Variance (YBAR) 1 2/3 0.67 1/√18 0.212 1/18 0.0449 5 2/3 0.668 1/√90 0.1113 1/90 0.0124 10 2/3 0.670 1/√180 0.0734 1/180 0.00539 40 2/3 0.667 1/√720 0.0369 1/720 0.00136 2. The mean and SD are pretty close to exact values. 3. The distribution looks normal....
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