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Chapter 6: 6.134 (page 285)

(a)

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 (a)to identify any outliers.

c. Use partto assess the normality of the variable under consideration.

Short Answer

Expert verified

a. The above is the normal probability plot for frequency of cremation burials.

b. The outliers are present in the plot at 2484.

c. The frequencies of cremation burials are not approximately normally distributed.

Step by step solution

01

Part (a) Step 1: Given Information

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.

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Most popular questions from this chapter

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 ato identify any outliers.

c. Use part bto assess the normality of the variable under consideration.

Determine the two z-scores that divide the area under the standard normal curve into a middle 0.90 area and two outside 0.05areas.

Under what circumstances is using a normal probability plot to assess the normality of a variable usually better than using a histogram, stem-and-leaf diagram, or dotplot?

Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.

Find the area under the standard normal curve that lies

a. either to the left of -1or to the right of 2.

b. either to the left of -2.51or to the right of -1.

A variable is normally distributed with mean 6and standard deviation 2.

Part (a): Determine and interpret the quartiles of the variable.

Part (b) Obtain and interpret the 85thpercentile.

Part (c) Find the value that 65%of all possible values of the variable exceed.

Part (d) Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95and two outside areas of 0.025. Interpret your answer.
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