In the article "Material Culture as Memory: Combs and Cremations in Early Medieval Britain" (Early Medieval Europe, Vol. 12, Issue 2, pp. 89-128). H. Williams discussed the frequency of cremation burials found in 17 archaeological sites in eastern England. Here are the data.
a. Obtain a normal probability plot of the given data.
b. Use part to identify any outliers.
c. Use partto assess the normality of the variable under consideration.
a. The above is the normal probability plot for frequency of cremation burials.
b. The outliers are present in the plot at .
c. The frequencies of cremation burials are not approximately normally distributed.
A normal probability plot of the given data.
First arrange the given data in ascending order and then obtain the normal scores from the table.
Draw the normal probability plot.
Hence, the above is the normal probability plot for frequency of cremation burials.
31. Mortgage Industry Employees. In an issue of National Mortgage News, a special report was published on publicly traded mortgage industry companies. A sample of mortgage industry companies had the following numbers of employees.
a. Obtain a normal probability plot of the data.
b. Use part (a) to identify any outliers.c. Use part (a) to assess the normality of the variable under consideration.
Fire Loss. The loss, in millions of dollars, due to a fire in a commercial building is a variable with density curve for and otherwise. Using the fact that the area of a triangle equals one-half its base times its height, we find that the area under this density curve to the left of any number between equals
a. Graph the density curve of this variable.
b. What percentage of losses exceed million?
Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of to a high of . Summary results for the scores are published by the College Entrance Examination Board in College Bound Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site. Use the technology of your choice to answer the following questions.
a. Do the SAT verbal scores for this class appear to be approximately normally distributed? Explain your answer.
b. Do the SAT math scores for this class appear to be approximately normally distributed? Explain your answer.
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