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A criminal justice researcher wants to examine whether male or female judges are

ID: 3177649 • Letter: A

Question

A criminal justice researcher wants to examine whether male or female judges are more likely to give harsh prison sentences for females convicted of child abuse. To do so, he obtains from court records the prison sentences (measured in years) of the most recently convicted female child abusers sentenced by male and female judges. He randomly selects 10 sentences for such cases handed down by female judges, and 10 sentences handed down by male judges. The results are as follows:

Male Judges

Female Judges

4

10

1

5

20

20

12

7

7

4

10

1

1

15

5

5

2

2

10

8

Which statistical procedure would you apply to determine whether there is a significant difference in the sentence lengths handed down by male and female judges?

Male Judges

Female Judges

4

10

1

5

20

20

12

7

7

4

10

1

1

15

5

5

2

2

10

8

Explanation / Answer

Here the "T-test" is the statistical procedure to be used to determine whether there is a significant difference in the sentence lengths handed down by male and female judges

Here we have two independent samples whose mean needs to be tested. In this kind of hypothesis testing T-test can be easily implement.

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