Time to Practice – Week Four
Complete Parts A, B, and C below.
Part A
Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate
Statistics. This data is available on the student website under the Student Text Resources link.
1. Using the data in the file named Ch. 11 Data Set 2, test the research hypothesis at the .05 level of
significance that boys raise their hands in class more often than girls. Do this practice problem by
hand using a calculator. What is your conclusion regarding the research hypothesis? Remember to
first decide whether this is a one- or two-tailed test.
2. Practice the following problems by hand just to see if you can get the numbers right. Using the
following information, calculate the t test statistic.
a. 𝑋1 = 62
b. 𝑋1 = 158
c. 𝑋1 = 200
𝑋2 = 60
𝑛1 = 10
𝑋2 = 157.4 𝑛1 = 22
𝑋2 = 198
𝑛1 = 17
𝑛2 = 10
𝑛2 = 26
𝑛2 = 17
𝑠12 = 2.45
𝑠12 = 2.06
𝑠12 = 2.45
𝑠22 = 3.16
𝑠22 = 2.59
𝑠22 = 2.35
3. Using the results you got from Question 2 and a level of significance at .05, what are the two-tailed
critical values associated with each? Would the null hypothesis be rejected?
4. Using the data in the file named Ch. 11 Data Set 3, test the null hypothesis that urban and rural
residents both have the same attitude toward gun control. Use IBM® SPSS® software to complete the
analysis for this problem.
5. In the following examples, indicate whether you would perform a t test of independent means or
dependent means.
a. Two groups were exposed to different treatment levels for ankle sprains. Which treatment was
most effective?
b. A researcher in nursing wanted to know if the recovery of patients was quicker when some
received additional in-home care whereas when others received the standard amount.
c. A group of adolescent boys was offered interpersonal skills counseling and then tested in
September and May to see if there was any impact on family harmony.
d. One group of adult men was given instructions in reducing their high blood pressure whereas
another was not given any instructions.
e. One group of men was provided access to an exercise program and tested two times over a 6month period for heart health.
6. The data set for this problem can be found through the Sage Materials in the Student Textbook
Resource Access link, listed under Academic Resources. For Ch. 12 Data Set 3, compute the t value
and write a conclusion on whether there is a difference in satisfaction level in a group of families’ use
of service centers following a social service intervention on a scale from 1 to 15. Do this exercise
using IBM® SPSS® software, and report the exact probability of the outcome. Copy and paste the
output from IBM® SPSS® into this worksheet.
7. Complete this exercise by hand. A famous brand-name manufacturer wants to know whether people
prefer Nibbles or Wribbles. They sample each type of cracker and indicate their like or dislike on a
scale from 1 to 10. Which do they like the most?
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Nibbles rating
Wribbles rating
9
4
3
7
1
6
6
8
5
7
7
7
8
8
3
6
10
7
3
8
5
9
2
8
9
7
6
3
2
6
5
7
8
6
1
5
6
5
3
6
8. Using the following table, provide three examples of a simple one-way ANOVA, two examples of a
two-factor ANOVA, and one example of a three-factor ANOVA. Complete the table for the missing
examples. Identify the grouping and the test variable.
Design
Simple
ANOVA
Two-factor
ANOVA
Grouping variable(s)
Test variable
Four levels of hours of training—2, 4,
6, and 8 hours
Typing accuracy
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Two levels of training and gender (twoway design)
Typing accuracy
Copyright © 2014 by University of Phoenix. All rights reserved.
Three-factor
ANOVA
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Enter Your Example Here
Two levels of training, two of gender,
and three of income
Voting attitudes
Enter Your Example Here
Enter Your Example Here
9. The data set for this problem can be found through the Sage Materials in the Student Textbook
Resource Access link, listed under Academic Resources. Using the data in Ch. 13 Data Set 2 and the
IBM® SPSS® software, compute the F ratio for a comparison between the three levels representing
the average amount of time that swimmers practice weekly (< 15, 15–25, and > 25 hours) with the
outcome variable being their time for the 100-yard freestyle. Does practice time make a difference?
Use the Options feature to obtain the means for the groups. Copy and paste the output from IBM®
SPSS® into this worksheet.
10. When would you use a factorial ANOVA rather than a simple ANOVA to test the significance of the
difference between the averages of two or more groups?
11. Create a drawing or plan for a 2 × 3 experimental design that would lend itself to a factorial ANOVA.
Identify the independent and dependent variables.
From Salkind (2011). Copyright © 2012 SAGE. All Rights Reserved. Adapted with permission.
Part B
The following questions in Part B require that you access data from Using SPSS for Windows and
Macintosh. This data is available on the student website under the Student Text Resources link.
12. Review the one sample t-test instructional video before completing this problem. The data set for this
problem can be found through the Pearson Materials in the Student Textbook Resource Access link,
listed under Academic Resources. The data for this question is in the data file named Lesson 22
Exercise File 1. John is interested in determining if a new teaching method, the involvement
technique, is effective in teaching algebra to first graders. John randomly samples six first graders
from all first graders within the Lawrence City School System and individually teaches them algebra
with the new method. Next, the pupils complete an eight-item algebra test. Each item describes a
problem and presents four possible answers to the problem. The scores on each item are 1 or 0,
where 1 indicates a correct response and 0 indicates a wrong response. The IBM® SPSS® data file
contains six cases, each with eight item scores for the algebra test.
Conduct a one-sample t test on the total scores. On the output, identify the following:
a. Mean algebra score
b. T test value
c. P value
13. Review the one-way ANOVA instructional video before completing this problem. The data set for this
problem can be found through the Pearson Materials in the Student Textbook Resource Access link,
listed under Academic Resources. The data for this question is in the data file named Lesson 25
Exercise File 1. Marvin is interested in whether blonds, brunets, and redheads differ with respect to
their extrovertedness. He randomly samples 18 men from his local college campus: six blonds, six
brunets, and six redheads. He then administers a measure of social extroversion to each individual.
Conduct a one-way ANOVA to investigate the relationship between hair color and social extroversion.
Copyright © 2014 by University of Phoenix. All rights reserved.
Conduct appropriate post hoc tests. On the output, identify the following:
a.
b.
c.
d.
F ratio for the group effect
Sums of squares for the hair color effect
Mean for redheads
P value for the hair color effect
From Green & Salkind (2011). Copyright © 2012 Pearson Education. All Rights Reserved. Adapted with
permission.
Part C
Complete the questions below. Be specific and provide examples when relevant.
Cite any sources consistent with APA guidelines.
Question
Answer
What is meant by independent samples?
Provide a research example of two independent
samples.
When is it appropriate to use a t test for
dependent samples? What is the key piece of
information you must know in order to decide?
When is it appropriate to use an ANOVA? What
is the key piece of information you must know in
order to decide?
Why would you want to do an ANOVA when
you have more than two groups, rather than just
comparing each pair of means with a t test?
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