Question;Homework 5;Z-Scores;Be sure you have reviewed this module/week?s lessons and;presentations along with the practice data analysis before proceeding to the;homework exercises. Complete all analyses in SPSS, and then copy and paste your;output and graphs into your homework document file. Number all responses.;Answer any written questions (such as the text-based questions or the APA;Participants section) in the appropriate place within the same file. Review the;?Homework Instructions: General? document for an example of how homework;assignments must look.;Part I: Concepts;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?;2. Define;the central limit theorem.;3. Fill;in the blanks: A z-score is based on a distribution of _____________, while a z-statistic;is based on a distribution of __________________.;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;Part II: SPSS Analysis;1. Green;and Salkind, Lesson 21, Exercise 1;Open the ?Lesson 21 Exercise File 1? document;(found in the course?s Assignment Instructions folder) in order to complete;these exercises.;a.;Create a histogram of the anxiety raw scores and paste it;into your homework document.;b.;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 your homework document. These descriptive statistics should;describe the original raw scores and not the new z scores.;c.;Remember that the mean of a standard normal;distribution is z = 0 and the standard deviation is 1. What is the z-score that;is closest to 0 (on either side of the mean) in your data set? What is the z-score;that is the farthest from 0 (on either side of the mean) in your data set?;d.;Based on the histogram from (a) and the answers to (c);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.;Part III: SPSS Data;Entry and Analysis;1.;The following data 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.;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;a.;Generate descriptive statistics and a histogram for;this variable. Based on the data and graph, 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.;b.;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?;c.;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?;Part IV: Cumulative;1.;(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?.;a.;What is the independent variable in this experiment?;b.;What is the dependent variable?;c.;What is the likely null hypothesis for this experiment?;d.;What is the likely research hypothesis for this;experiment?;2.;(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.;a.;State the likely null hypothesis for this study.;b.;State the likely research hypothesis for this study.;3.;(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.;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;a.;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. 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;2;10;2;8;2;19;Continue in this fashion to the end of;the file.;b. 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). Paste this into;your homework document.;c. Construct;a boxplot to show the difference between the mean scores of the 2 groups.;Submit Homework 5 by 11:59 p.m. (ET) on Monday of;Module/Week 5.
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