Log out Go to App
Go to App

Learning Materials

Features

Discover

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)μis equal to 16.7 months

Part (b). μis 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

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

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

So,Ha:μ≠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.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Body Temperatures Data Set 3 “Body Temperatures” in Appendix B includes 93 body temperatures measured at 12 ²³ on day 1 of a study, and the accompanying XLSTAT display results from using those data to test the claim that the mean body temperature is equal to 98.6°F. Conduct the hypothesis test using these results.

Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

Exercise 17

Cans of coke use the data and the claim given in exercise 1 to identify the null and alternative hypothesis and the test statistic. What is the sampling distribution of the test statistic?

Type I and Type II Errors. In Exercises 29–32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.).

The proportion of people who require no vision correction is less than 0.25.

In Exercises 9–12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Exercise 6 “Cell Phone”
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free