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# Assignment 5 - Soci 332 American Military university Statistics for social science

Assignment Instructions
Submit the following files to the Drop Box no later than Sunday of Week 5:
Word file (this file) saved as [your last name]_SOCI332_Weekly Assignment 5.doc
SPSS output file (.spv) saved as [your last name]_SPSS-week5_output

The deadline for this assignment is 11:59 PM EST on Sunday of Week 5

WEEKLY ASSIGNMENT 5

Enter your answers by highlighting or bolding the correct answer. Save the file using your last name as the beginning of the file name (e.g., Krieger_SOCI332_Weekly Assignment 5.doc) and submit via “Assignments.” When appropriate, show your work. You can do the work by hand, scan/take a digital picture, and attach that file with your work.

For the following question(s): A school counselor tests the level of depression in fourth graders in a particular class of 20 students. The counselor wants to know whether the kind of students in this class differs from that of fourth graders in general at her school. On the test, a score of 10 indicates severe depression, while a score of 0 indicates no depression. From reports, she is able to find out about past testing. Fourth graders at her school usually score 5 on the scale, but the variation is not known. Her sample of 20 fifth graders has a mean depression score of 4.4. Use the .01 level of significance.

1. The counselor calculates the unbiased estimate of the population’s variance to be 15. What is the variance of the distribution of means?
A) 15/20 = 0.75
B) 15/19 = 0.79
C) 152/20 = 11.25
D) 152/19 = 11.84

2. Suppose the counselor tested the null hypothesis that fourth graders in this class were less depressed than those at the school generally. She figures her t score to be .20. What decision should she make regarding the null hypothesis?
A) Reject it
B) Fail to reject it
C) Postpone any decisions until a more conclusive study could be conducted
D) There is not enough information given to make a decision

3. Suppose the standard deviation she figures (the square root of the unbiased estimate of the population variance) is .85. What is the effect size?
A) 5/.85 = 5.88
B) .85/5 = .17
C) (5 4.4)/.85 = .71
D) .85/(5 4.4) = 1.42
For the following question(s): Professor Juarez thinks the students in her statistics class this term are more creative than most students at this university. A previous study found that students at this university had a mean score of 35 on a standard creativity test. Professor Juarez finds that her class scores an average of 40 on this scale, with an estimated population standard deviation of 7. The standard deviation of the distribution of means comes out to 1.63.

4. What is the t score?
A) (40 35)/7 = .71
B) (40 35)/1.63 = 3.07
C) (40 35)/72 = 5/49 = .10
D) (40 35)/1.632 = 5/2.66 = 1.88

5. What effect size did Professor Juarez find?
A) (40 35)/7 = .71
B) (40 35)/1.63 = 3.07
C) (40 35)/72 = 5/49 = .10
D) (40 35)/1.632 = 5/2.66 = 1.88

6. If Professor Juarez had 30 students in her class, and she wanted to test her hypothesis using the 5% level of significance, what cutoff t score would she use? (You should be able to figure this out without a table because only one answer is in the correct region.)
A) 304.11
B) 1.699
C) .113
D) 2.500

SPSS ASSIGNMENT (10 Points)
Single Sample & Dependent Samples t Tests

Review the five steps of hypothesis testing and complete the following problem. Choose one of the problems to solve below and follow the given instructions. Be sure to cut and past the appropriate result boxes from SPSS under each problem. All calculations should be coming from SPSS.

t Test for a Single Sample:

Open SPSS
Enter the number of activities of daily living performed by the depressed clients studied in #1 in the Data View window.
In the Variable View window, change the variable name to “ADL” and set the decimals to zero.
Click Analyze Compare Means One-Sample T test the arrow to move “ADL” to the Variable(s) window.
Enter the population mean (14) in the “Test Value” box.
Click OK.

1. Researches are interested in whether depressed people undergoing group therapy will perform a different number of activities of daily living after group therapy. The researchers have randomly selected 12 depressed clients to undergo a 6-week group therapy program.

Use the five steps of hypothesis testing to determine whether the average number of activities of daily living (shown below) obtained after therapy is significantly different from a mean number of activities of 14 that is typical for depressed people. (Clearly indicate each step).

Test the difference at the .05 level of significance and, for practice, at the .01 level (in SPSS this means you change the “confidence level” from 95% to 99%).

In Step 2, show all calculations.

As part of Step 5, indicate whether the behavioral scientists should recommend group therapy for all depressed people based on evaluation of the null hypothesis at both levels of significance and calculate the effect size.

CLIENT
AFTER THERAPY
A
17
B
15
C
12
D
21
E
16
F
18
G
17
H
14
I
13
J
15
K
12
L
19

t Test for Dependent Means:

Open SPSS
Enter the number of activities of daily living performed by the depressed clients studied in Problem 2 in the Data View window. Be sure to enter the “before therapy” scores in the first column and the “after therapy” scores in the second column.
In the Variable View window, change the variable name for the first variable to “ADLPRE” and the variable name for the second variable to “ADLPOST”. Set the decimals for both variables to zero.
Click Analyze Compare Means Paired-Samples T Test the arrow to move “ADLPRE” to the Paired Variable(s) window “ADLPOST” and then click the arrow to move the variable to the Paired Variable(s) window.
Click OK.

2. Researchers are interested in whether depressed people undergoing group therapy will perform a different number of activities of daily living before and after group therapy. The researchers have randomly selected 8 depressed clients in a 6-week group therapy program.

Use the five steps of hypothesis testing to determine whether the observed differences in numbers of activities of daily living (shown below) obtained before and after therapy are statistically significant at the .05 level of significance and, for practice, at the .01 level. (Clearly indicate each step).

In Step 2, show all calculations. As part of Step 5, indicate whether the researchers should recommend group therapy for all depressed people based on evaluation of the null hypothesis at both levels of significance and calculate the effect size.

CLIENT
BEFORE THERAPY
AFTER THERAPY
A
12
17
B
7
15
C
10
12
D
13
21
E
9
16
F
8
18
G
14
17
H
11
8

Submit the following files to the Drop Box no later than Sunday of Week 5:
⎫ Word file (this file) saved as Krieger_SOCI332_Weekly Assignment 5.doc
⎫ SPSS output file (.spv) saved as Krieger_SPSS-week5_output

The deadline for this assignment is 11:59 PM EST on Sunday of Week 5

Attached Files