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Chapter 8: Q. 9.19 (page 358)

Serving Time. According to the Bureau of Crime Statistics and Research of Australia, as reported on Lawlink, the mean length of imprisonment for motor-vehicle-theft offenders in Australia is 16.7 months. You want to perform a hypothesis test to decide whether the mean length of imprisonment for motor-vehicle-theft offenders in Sydney differs from the national mean in Australia.

Short Answer

Expert verified

Part (a)渭is equal to 16.7 months

Part (b). 渭is different from 16.7 months

Part (c). two tailed test

Step by step solution

01

Part (a) Step 1. Given information.  

The mean length of imprisonment for motor-vehicle-theft offenders in Australia is 16.7 months

02

Part (a) Step 2. Determine the null hypothesis.  

Let

渭=the mean length of imprisonment of motor vehicle theft offenders in

The mean length of imprisonment of motor vehicle theft offenders in 碌 is equal to 16.7 months.

The null hypothesis:

So,H0:16.7months

03

Part (b) Step 1. Determine the alternative hypothesis.  

The alternative hypothesis:

The mean length of imprisonment of motor vehicle theft offenders in 渭 is different from 16.7 months.

So,Ha:渭鈮�16.7months.

04

Part (c) Step 1. Classify the hypothesis test as two tailed, left tailed, or right tailed.  

This is a two-tailed hypothesis test. This is because the alternative hypothesis test determines whether the average length of sentence for motor vehicle theft offenders in u is different from 16.7 months.

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