445 Words2 Pages

Applet Exercise #6
Q1/ Compare the sampling distributions of the mean and the median in terms of center and spread for bell shaped and skewed distributions.
When the shape was skewed to the right, the mean and median were also to the right once and again with more trials, they both get changed. The mean and median cannot always be used to identify the shape of the distribution. Many distributions of data are approximately symmetric and without skewness. When the shape was bell shaped, a symmetric distribution could be divided at the center so that each half is a mirror image of the other. The center of a distribution is located at the median of the distribution. This was the point in a graphic display where about half of the observations are on either side.*…show more content…*

When the sample size was 3, the shape of the sampling distribution was horizontally shaped by the mean of 0.0 and median of 0.0. When the sample size was 50, the sampling distribution was vertically shaped by the mean of 4.0 and median of 4.0. In the both cases of the binary population, the mean and median were equal. Applet Exercise #7 • Simulate at least 1000 intervals with n = 100 and p = 0.5. What proportion of the 95% confidence intervals contain 0.5? What proportion of the 99% confidence intervals contain 0.5? How does the typical width of these intervals compare to the n = 30 and p = 0.5 case above? The answer: The proportion of the 95% confidence intervals contain 0.5 was 0.95; The proportion of the 99% confidence intervals contain 0.5 was 0.99; When n= 30, the width of these intervals is

When the sample size was 3, the shape of the sampling distribution was horizontally shaped by the mean of 0.0 and median of 0.0. When the sample size was 50, the sampling distribution was vertically shaped by the mean of 4.0 and median of 4.0. In the both cases of the binary population, the mean and median were equal. Applet Exercise #7 • Simulate at least 1000 intervals with n = 100 and p = 0.5. What proportion of the 95% confidence intervals contain 0.5? What proportion of the 99% confidence intervals contain 0.5? How does the typical width of these intervals compare to the n = 30 and p = 0.5 case above? The answer: The proportion of the 95% confidence intervals contain 0.5 was 0.95; The proportion of the 99% confidence intervals contain 0.5 was 0.99; When n= 30, the width of these intervals is

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