Project #48563 - IMB SPSS

Homework 5 Z-Scores 

Z-Scores

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.

 


 

 

 

Part I: Concepts

Questions 1–9


These questions are based on the Nolan and Heinzen reading and end-of-chapter questions.

 


 

 

1)

What are always the mean and standard deviation of the z-distribution?

 

Answer (mean)

Answer (standard deviation)

 

2)

Define the central limit theorem.

 

Answer

 

3)

Fill in the blanks: A z-score is based on a distribution of ________, while a z-statistic is based on a distribution of ________.

 


 

 

 

 

Part I: Question 4

End-of-chapter problems:
Remember to show work to receive partial credit where applicable. For help working on these problems, refer to the presentation from this module/week on the normal curve and computing z-scores.

·         Raw and z-scores: 6.16 and 6.20

·         Estimating percentages under normal curve: 6.27

·         Distribution of means and z-statistic: 6.28 and 6.30

4)  Raw and z-scores: Exercise 6.16

4a)  Answer

(Optional-Show work here) Work:

4b)  Answer

Work:

4c)  Answer

Work:

4d)  Answer

Work:

5)  Raw and z-scores: Exercise 6.20

5a)  Answer

Work:

5b)  Answer

Work:

5c)  Answer

Work:

5d)  Answer

Work:

7)  Estimating percentages under normal curve: Exercise 6.27

7a)  Answer

Work:

7b)  Answer

Work:

7c)  Answer

Work:

7d)  Answer

Work:

8)  Distribution of means: Exercise 6.28

8a)  Answer

Work:

8b)  Answer

Work:

8c)  Answer

Work:

9)  z-statistic: Exercise 6.30

9a)  Answer

Work:

9b)  Answer

Work:

9c)  Answer

Work:

 

 

 

Part II: SPSS Analysis

Module 5 Lesson 21 Exercise File 1


Open the “Lesson 21 Exercise File 1” document (found in the course’s Assignment Instructions folder) in order to complete these exercises.

 

 

 


 

 

Part II:
Exercises 1a-1d and Exercise 4

Use file: Module 5 Lesson 21 Exercise File 1


Using the data set (answers will be pasted into the blanks below this summary):

·         a) Create a histogram of the raw scores

·         b) Transform the raw scores to z-scores

o   Label the new variable “z_anxiety”

·         Paste Descriptive Statistics Table of the raw anxiety scores

o   Note that descriptive statistics should describe the original raw scores and not the new z scores

·         c) Identify the z-score that is closest to 0 and farthest from 0.

·         d) Evaluate whether the scores are normally distributed.

o   Support your answer.

 

1a)

Create a histogram of the anxiety raw scores and paste it below.

Answer: Histogram

 

 

 

1b)

Using the descriptives method covered in the presentation and chapter, transform the anxiety raw scores to z-scores, creating a new variable called “z_anxiety.”

Paste the output of descriptive statistics in the cell below.
These descriptive statistics should describe the original raw scores and not the new z-scores.

Answer: Descriptive Statistics Table  

 

 

 

 

 

 

 

1c)

What is the z-score that is closest to 0 (on either side of the mean) in the data set?

What is the z-score that is the farthest from 0 (on either side of the mean) in the data set? 

 

Answer

Answer

1d)

Based on the histogram from (1a) and the answers to (1c), would you describe the anxiety data as being normally distributed? Why or why not? Support your answer with information from the chapter and presentations regarding normal and standard normal z-distributions.

Answer

Justification

 


 

 

Part III: SPSS Data Entry and Analysis

Data provided below.

 

 

 


 

 

IQ Scores

123

119

104

145

108

100

115

105

60

122

105

87

98

124

80

93

89

123

118

104

112

96

85

98

105

91

113

82

124

90

 Part III:
Questions 1a-1f

The data in the columns to the left represent IQ scores of a sample of 30 high school students. In the general population, IQ scores have a mean of 100 and a standard deviation of 15.


·         Generate descriptive statistics for this variable.

·         Generate a histogram for this variable.

·         Choose 1 measure of central tendency and 1 measure of dispersion (variability) that best describes the data set.

o   Support your answer.

·         In your data set, standardize the IQ scores by transforming them into z-scores

o   Label the new variable “ZIQ”

·         Which z-scores corresponds to a raw IQ score of 115, 60 and 104?

·         Does the distribution reflect the distribution in the general population?

o   Support your answer.

 

1-a)

Generate descriptive statistics for this variable.

Answer: Descriptive Statistics Table  

 

 

 

1-b)      

Generate a histogram for this variable.

Answer: Histogram

 

 

 

1-c)      

Choose 1 measure of central tendency and 1 measure of dispersion (variability) that best describes the data set.

Justify why you chose these measures in a statement beneath the output.

Answer

Justification

1-e)      

In your data set, standardize the IQ scores by transforming them into z-scores under a new variable “ZIQ.”
 Using your data set as a reference, what z-score corresponds to a raw IQ score of 115?

To a raw IQ score of 60? To a raw IQ score of 104? 

IQ 115

Answer

IQ 60

Answer

IQ 104

Answer

1-f)

 

Based on what you have been told about IQ scores in the beginning of the problem,

does this sample’s distribution seem to reflect the distribution of IQ scores in the general population?

Why or why not? 

Answer

Justification

                   

 

 

Part IV: Cumulative

Data  provided below for respective questions.

 

 


 

 

Part IV:  Question 1a-1d (Non-SPSS)


A cognitive psychologist wants to find out whether playing Minecraft® affects fourth graders’ scores on a visuospatial task.

He assigns 30 fourth graders to 1 of 2 groups.

Group 1 plays Minecraft® for 20 minutes, then completes the visuospatial task.

Group 2 completes the visuospatial task without playing Minecraft®.

1-a) 

What is the independent variable in this experiment?

Answer

1-b)

What is the dependent variable?

Answer

1-c)

What is the likely null hypothesis for this experiment?

Answer

1-d)

What is the likely research hypothesis for this experiment? 

Answer

 


 

 

Part IV:  Question 2a & 2b (Non-SPSS)


A clinical psychologist wants to test a new long-term treatment program for people diagnosed with bipolar disorder. She assigns 20 participants to the new treatment program and 20 participants to a standard treatment program.

2-a) 

State the likely null hypothesis for this study.

Answer

2-b)

State the likely research hypothesis for this study.

Answer

 


 

 

ASPD

Diagnosis

No ASPD

Diagnosis

23

11

19

21

22

9

16

27

31

31

10

8

19

13

6

4

9

15

11

7

 Part IV:
Questions 3a & 3b
(SPSS)

A criminal psychologist wants to examine the level of narcissistic personality traits between those who are diagnosed with antisocial personality disorder (ASPD) and those who do not qualify for ASPD. She administers a measure of narcissistic personality traits where higher scores indicate higher levels of narcissism and scores range from 0–35.


·         Create a new SPSS data file for these scores.

 

·         Your file must have 2 variables: Diagnosis and Score.

 

·         Your diagnosis variable must be set up as a 1-column grouping variable with 2 groups (diagnosis, no diagnosis) coded numerically. This will be much like the gender variable you created in a previous module/week.

o   For example, if you code ASPD Diagnosis as 1 and No ASPD Diagnosis as 2, then the SPSS file will appear somewhat like the following:

Column 1

Column 2

“Diagnosis”

“Score”

1

23

1

11

1

19

·         All ASPD Diagnosis scores from the table above will appear in a similar fashion.

·         Then, enter No ASPD Diagnosis information as:

Column 1

Column 2

2

10

 

2

8

 

2

19

 

       

[Continue in this fashion to the end of the file]

 

·         a) Compute descriptive statistics by diagnosis (that is, for each of the two groups in one table) using similar steps to those covered in Green and Salkind’s Lesson 21 and in the Module/Week 3 presentation (HS GPA scores by Gender).

·         b) Construct a boxplot to show the difference between the mean scores of the 2 groups

 

3-a)

Compute descriptive statistics by diagnosis (that is, for each of the two groups in one table).

Answer: SPSS Table-  Descriptive Statistics for  Score (level of narcissistic personality) grouped by Diagnosis (ASPD/No ASPD):

[Paste one table]

 

 

 

 

3-b)      

Construct a boxplot to show the difference between the mean scores of the 2 groups. 

Answer: Boxplot

 

 

 

       

 

Submit Homework 5 by 11:59 p.m. (ET) on Monday of Module/Week 5.

 

 

 

Done!

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 11/22/2014 05:00 pm
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