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Chapter 6: Q. 6.138 (page 285)

In 1902, W. R. Macdonell published the article "On Criminal Anthropometry and the Identification of Criminals" (Biometrika, Vol. 1. Pp. 177-227). Among other things. the author presented data on the left middle finger length, in centimeters. The following table provides the midpoints and frequencies of the finger-length classes used.

Use these data and the technology of your choice to assess the normality of middle finger length of criminals by using

a. a histogram.

b. a normal probability plot.

Short Answer

Expert verified

a. The above constructed histogram has bell shaped which implies that the data has been taken from the normally distributed population.

b. Thus, it could be said that the data set is normally distributed.

Step by step solution

01

Part (a) Step 1: Given Information 

A histogram for the provided data set.

02

Part (a) Step 2: Explanation 

The data is:

A histogram for the provided data set.

Mid pointFrequency9.519.8410.12410.46710.71931141711.357511.669111.9509

12.230612.513112.86313.11613.43

03

Part (a) Step 3: Explanation 

Histogram for the provided data set could be constructed as:

The above constructed histogram has bell shaped which implies that the data has been taken from the normally distributed population.

04

Part (b) Step 4: Given Information 

A normal probability plot for the provided data set.

05

Part (b) Step 5: Explanation 

A normal probability plot for the provided data set can be constructed as:

Since, all the data points follow the linear pattern. Thus, it could be said that the data set is normally distributed.

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Most popular questions from this chapter

A variable is normally distributed with a mean 10 and standard deviation3. Find the percentage of all possible values of the variable that

a. lie between 6and 7.

b. are at least 10 .

c. are at most 17.5 .

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a. Obtain a normal probability plot of the given data.

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