Q. 6.134 - Elementary Statistics

Question

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 part $b$ to assess the normality of the variable under consideration.

Step-by-Step Solution

Answer

a. As a result, the normal probability curve for the frequency of cremation burials is shown above.

b. As a result, the outliers may be found in the plot at $2484$. 

c. As a result, the frequency of cremation burials is not approximately typical.  

Part (a) Step 1: Given Information

The normal probability of the given data.

Part (a) Step 2: Explanation

The given data's normal probability.

Arrange the given data in ascending order first, then use the table to calculate the normal scores.

Make a normal probability graph.

As a result, the normal probability curve for the frequency of cremation burials is shown above.

Part (b) Step 1: Given Information

The outliers in normal probability plot of part $a.$

Part (b) Step 2: Explanation

Consider portion a's normal probability plot.

In the plot, there is one unexpected data point.

As a result, the outliers may be found in the plot at $2484$. 

Part (c) Step 1: Given Information

The normality of the variable under consideration.

Part (c) Step 2: Explanation

Consider portion a's normal probability plot.

The information isn't transmitted in a straight path.

The variable under discussion isn't a straight line.

As a result, the frequency of cremation burials is not approximately typical.