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The accompanying histogram shows the distribution of mean ACT composite scores for all Wisconsin public schools in 2019. 75.3% of the data points fall between
The accompanying histogram shows the distribution of mean ACT composite scores for all Wisconsin public schools in 2019. 75.3% of the data points fall between one standard deviation below the mean and one standard deviation above the mean. Complete parts a and b below. Click here to view the histogram of the ACT scores. Click here to view the Normal probability plots. a) Give two reasons a Normal model is not appropriate for these data. Select all that apply. A. The data are bimodal with a high mode and a low mode. [)B. If a Normal model were appropriate, about 95% of the data points would fall within one standard deviation of the mean. C. If a Normal model were appropriate, about 68% of the data points would fall within one standard deviation of the mean. OD. The data are skewed right. b) The Normal probability plot on the left shows the distribution of these scores. The plot on the right shows the same data with the Milwaukee area schools (mostly in the low mode) removed. What do these plots tell you about the shape of the distributions? Select the correct choice below. O A. Both distributions are approximately the same. O B. The shape of the distribution with the Milwaukee area schools removed is more skewed than the distribution with all the schools. X O C. The shape of the distribution with the Milwaukee area schools removed is more approximately Normal than the distribution with all the schools. Histogram of ACT scores - O D. The shape of the distribution with the Milwaukee area schools removed is uniform. 100- Normal Probability Plots - X 80- 24 + 60- 20 - 24 # of Schools Composite Score Composite Score 16- 12 - 40- -2 2 1.5 0.0 1.5 Normal Quantile Normal Quantile 20 2.75 16.5 20.25 24 27.75 Print Done Print Done
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