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PSYC 354

HOMEWORK 7

Confidence Intervals, Effect Size, and Statistical Power

When submitting this file, be sure the filename includes your full name, course and section.

Example: HW7_JohnDoe_354B01

Be sure you have reviewed this module/week?s lesson and presentations along with the practice

data analysis before proceeding to the homework exercises. Complete all analyses in SPSS, then

copy and paste your output and graphs into your homework document file. Answer any written

questions (such as the text-based questions or the APA Participants section) in the appropriate

place within the same file.

Questions 1?8

Part I: Concepts

These questions are based on the Nolan and Heinzen reading and

end-of-chapter questions.

Part I: Questions 1a-1e

Fill in the highlighted blanks with the best word or words.

1-a)

The confidence interval is centered around the ________ of the sample.

1-b)

Cohen's d measures the difference between means in terms of ________.

1-c)

According to Cohen's conventions, a d value of ________ indicates a small

effect.

1-d)

A study that calculates the mean effect size from the individual effect sizes of

many studies is called a(n) ________.

1-e)

Statistical power refers to the probability of successfully rejecting the ________.

Part I: Questions 2-5

End-of-chapter problems:

Complete the following problems.

Page 1 of 5

PSYC 354

If applicable, remember to show work in your homework document to receive partial

credit.

2)

List five factors that affect statistical power. For each, indicate how a

researcher can leverage/manipulate that factor to increase power in a study.

A)

B)

C)

D)

E)

3)

Exercise 8.22 from N&H text: In 2006, approximately 47% of Americans,

when surveyed by a Gallup poll, felt that having a gun in the home made

them safer than having no gun. The margin of error reported was 3%.

Construct an interval estimate using these figures.

Answer

4)

For each of the following confidence levels, look up the critical z values for a

two-tailed test.

4a) 80% (Hint: 10% in

each tail): Answer

Work:

4b) 88% Answer

Work:

5)

Remembering that a meta-analysis calculates one mean

effect size using the effect sizes of several studies, assume

you are conducting a meta-analysis over a set of five studies.

The effect sizes for each study are: d= .80, d = .09, d = .46, d

= .65, d = .28

5a)

Calculat

e the

mean

effect

size of

these

studies.

Answer

5b) Use Cohen?s conventions to describe the mean effect size you calculated in part (a).

Answer

Page 2 of 5

PSYC 354

Part I: Questions 6-8

Compute effect size in the following questions:

6

)

A company decides to add a new program that prepares randomly selected sales

personnel to increase their number of sales per month. The mean number of sales per

month for the overall population of sales personnel at this national company is 25 with a

standard deviation of 3. The mean number of sales per month for those who participated

in the new program is 30.

Compute the effect size of the new sales program.

Answer

7

)

On a certain anxiety questionnaire, the general population is known to have a mean of 16

and a standard deviation of 2.4. A higher score represents higher levels of anxiety.

Participants in a new relaxation program complete the questionnaire after completing the

program and have a mean score of 12.5.

What is the effect size of the relaxation program?

Answer

8

)

Work:

Work:

A residential treatment facility tests a new group therapy for patients with selfdestructive behaviors. The therapists hope to decrease scores on a measure of selfdestructive behaviors that has a mean in the overall residential treatment population of 15

and a standard deviation of 1.6. The mean score for the patients after the new group

therapy is 13.7.

What is the effect size of the new group therapy?

Answer

Work:

Part II & Part III

There is no new SPSS material this module/week. No questions for

Part II or III

.

Part IV: Cumulative

Data provided below for respective questions.

Page 3 of 5

PSYC 354

Helping

Behaviors

47

56

52

39

40

63

39

45

50

46

32

54

47

35

65

61

43

56

59

52

Part IV:

Questions 1-4

A test designed to measure helping behavior was administered to 20 university students.

The data from this test are shown in the column to the left.

(higher scores more helping).

Enter the Helping Behaviors data into a new SPSS file.

1-a)

Using SPSS, calculate descriptive statistics for this variable. Be sure to include the mean

and standard deviation.

Answer: Descriptive Statistics Table

2)

Create the appropriate graph in SPSS for the variable ?Helping Behaviors.?

Justify your choice of graph.

Answer: Appropriate graph

Justification

3)

Using the mean and standard deviation of the helping behaviors data above (from your

SPSS output), calculate (by hand) the raw score that marks the 45th percentile of this data

set. (See last week?s material for review.)

Answer

Work:

4)

Using the mean and standard deviation of the helping behaviors data above, calculate the

percentile of a raw score of 37. (See last week?s material for review.)

Answer

Work:

Page 4 of 5

PSYC 354

Part IV:

Question 5a-5e

For the following scores, state the: a) mean; b) median; c) mode; d) range; e) standard

deviation.

39 35 43 27 35

5-a) Mean

Answer

Work:

5-b) Median

Answer

Work:

5-c) Mode

Answer

Work:

5-d) Range

Answer

Work:

Standard Deviation (Note: Compute by hand using the formula from Module 3.

5-e) Programs like SPSS or Excel use a slightly different formula that we won?t use

until Module 8 and will give you the wrong answer for this section.)

Answer

Work:

Submit Homework 7 by 11:59 p.m. (ET) on Monday of Module/Week 7. Remember to name file

appropriately.

Done!

Page 5 of 5

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