Class Notes (922,751)
CA (542,968)
Ryerson (30,914)
QMS (276)
QMS 202 (65)
Lecture

Chapter 11 - Part One

24 Pages
188 Views

Department
Quantitative Methods
Course Code
QMS 202
Professor
Jason Chin- Tiong Chan

This preview shows pages 1-3. Sign up to view the full 24 pages of the document.
QMS202-Business Statistics II Chapter11
Chapter11 Two-Sample Tests and
One-Way ANOVA (Part I)
Outcomes:
1. Conduct a test of hypothesis for two independent population means
- Use z-test when
1
σ
and
2
σ
are known
- Use pooled-variance t test when
1
σ
and
2
σ
are unknown but equal
- Use separate-variance t test when
1
σ
and
2
σ
are unknown and
unequal
2. Conduct a test of hypothesis for paired or dependent observations,
using the paired t-test
3. Conduct a test of hypothesis for two population proportions
using the z test
4. List the characteristics of the F distributions
5. Conduct a test of hypothesis to determine whether the variances
of two populations are equal, using the F Test
6. Discuss the general idea of Analysis of Variance (ANOVA) and its
assumptions
7. Conduct the F Test when there are more than two means
8. Discuss multiple comparisons: The Tukey-Kramer procedure
9. Conduct Levene’s Test for Homogeneity of Variance
Winter2011 1
www.notesolution.com
QMS202-Business Statistics II Chapter11
Example1
Ryerson Car magazine is comparing the total repair costs incurred during
the first three years on two sport cars, The R123 and the S456. Random
samples of 45 R123 cars are $5300 for the first three years. For the 50
S456 cars, the mean is $5760. Assume that the standard deviations for the
two populations are $1120 and $1350, respectively. Using the 5%
significance level, can we conclude that such mean repair costs are
different for these two types of cars?
Calculator Output
2-Sample z Test
1
µ
2
µ
z
= -1.8137025
p
= 0.06972353
1
x
= 5300
2
x
= 5760
1
n
= 45
2
n
= 50
Winter2011 2
www.notesolution.com
QMS202-Business Statistics II Chapter11
Step1
Let
1
µ
be the population mean repair cost for sport car R123
Let
2
µ
be the population mean repair cost for sport car S456
Step2
21
:
µµ
=
o
H
21
:
µµ
A
H
Step3
Level of significance = 0.05/2=0.025
Step 4
2-sample mean z test
Step5
statistic
z
= -1.8137
= p-value =
0.06972353
Step6
Since the p-value > 0.05, do not reject the null hypothesis.
There is not enough evidence to conclude that such mean repair costs are
different for these two types of cars
Winter2011 3
www.notesolution.com

Loved by over 2.2 million students

Over 90% improved by at least one letter grade.

Leah — University of Toronto

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto
Saarim — University of Michigan

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan
Jenna — University of Wisconsin

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin
Anne — University of California

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California
Description
QMS202-Business Statistics II Chapter11 Chapter11 Two-Sample Tests and One-Way ANOVA (Part I) Outcomes: 1. Conduct a test of hypothesis for two independent population means -Use z-test when 1 and 2 are known - Use pooled-variance t test when 1 and 2 are unknown but equal - Use separate-variance t test when 1 and 2 are unknown and unequal 2. Conduct a test of hypothesis for paired or dependent observations, using the paired t-test 3. Conduct a test of hypothesis for two population proportions using the z test 4. List the characteristics of the F distributions 5. Conduct a test of hypothesis to determine whether the variances of two populations are equal, using the F Test 6. Discuss the general idea of Analysis of Variance (ANOVA) and its assumptions 7. Conduct the F Test when there are more than two means 8. Discuss multiple comparisons: The Tukey-Kramer procedure 9. Conduct Levenes Test for Homogeneity of Variance Winter2011 1 www.notesolution.comQMS202-Business Statistics II Chapter11 Example1 Ryerson Car magazine is comparing the total repair costs incurred during the first three years on two sport cars, The R123 and the S456. Random samples of 45 R123 cars are $5300 for the first three years. For the 50 S456 cars, the mean is $5760. Assume that the standard deviations for the two populations are $1120 and $1350, respectively. Using the 5% significance level, can we conclude that such mean repair costs are different for these two types of cars? Calculator Output 2-Sample z Test 1 2 z = -1.8137025 p = 0.06972353 x1 = 5300 x = 5760 2 n1 = 45 n 2 = 50 Winter2011 2 www.notesolution.com
More Less
Unlock Document


Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit