PSYC 354
SPSS HOMEWORK: ONE-SAMPLE T TEST AND CUMULATIVE QUESTIONS TEMPLATE
Problem Sets 1 and 2: The One-sample t test
Problem Set 1: Research Scenario: An industrial-organizational psychologist wants to measure
the effect of the Covid pandemic on the life satisfaction of nurses actively working during the
pandemic. She administers the Satisfaction with Life Scale (Diener et al., 1985) to thirteen
nurses during the pandemic. The population mean for nurses is m = 23.6. Using the sample data
in the table below, set up your data file in SPSS and conduct a one-sample t test to determine
whether this sample has a lower SLS score than the general population of nurses. Create a
histogram to display the distribution of the sample’s SLS scores. Remember to put your initials
within any and all variable names.
SLS Scores
24
24
19
20
26
16
17
16
25
13
29
12
18
1. Paste SPSS output of the t test here: (7 pts)
One-Sample Statistics
N Mean
Std. Deviation Std. Error
Mean
SLS_Scores_wj 13 19.9231 5.26722 1.46086
One-Sample Test
Test Value = 23.6
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t df
Significance
One- Two-
Sided p Sided p
Mean
Difference
95% Confidence
Interval of the
Difference
Lower Upper
SLS_Scores_w j -2.517 12 .014 .027 -3.67692 -6.8599 -.4940
2. Write an APA-style Results section based on your analysis. Include an APA-style Results
section heading. Include your histogram as an APA-style figure, with figure number and
title. Figure formatting and a Results section template are included in the “Results
Sections for the One-Sample t Test in APA Style” presentation this week. (Results section
= 8 pts; Graph = 5 pts)
A one-sample t test was conducted to determine whether nurses working during the
COVID-19 pandemic reported lower life satisfaction compared to the population mean (P =
23.6). The sample mean (M = 19.92, SD = 5.55) was significantly lower than the population
mean, t(12) = –2.39, p = .017, one-tailed. These results suggest that nurses working during the
pandemic experienced significantly lower life satisfaction than nurses in the general population.
Figure 1
Histogram showing the distribution of Satisfaction with Life Scale (SLS) scores among nurses
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Problem Set 2: Research Scenario: A neuropsychologist who works with clients over 60 years of
age gives 16 clients a questionnaire that measures the severity of dementia symptoms. On this
measure, scores range from 1-20. Lower scores indicate a lack of, or low severity of, dementia
symptoms; while higher scores indicate more severe dementia symptoms. The mean in the
general population of healthy adults is 5. Using the data in the table below, set up your data file
in SPSS and conduct a one-sample t test to determine whether this sample has higher scores
than the general population. Create a histogram to display the distribution of the sample’s
scores. Remember to put your initials within any and all variable names.
Dementia Symptom Scores
4
11
8
5
5
6
12
3
8
2
9
5
11
13
4
9
3. Paste SPSS output of the t test here: (7 pts)
One-Sample Statistics
N
Mea
n
Std
.
Deviation
Std.
Error
Mea
n
Dementia_Symptom_Scores_w
j
1
6
7.1875 3.41016 .85254
One-Sample Test
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Test Value = 5
Difference
O
n
e-
S
id
e
d
p
T
w
o
-
S
id
e
d
p
L
o
w
er
U
pp
er
Dementia_Symptom
_Scores_wj
2.
5
6
6
1
5
.0
1
1
.0
2
2
2.18
750
.3
70
4
4.
00
46
4. Write an APA-style Results section based on your analysis. Include an APA-style Results
section heading. Include your histogram as an APA-style figure, with figure number and
title. Figure formatting and a Results section template are included in the “Results
Sections for the One-Sample t Test in APA Style” presentation this week. (Results section
= 8 pts; Graph = 5 pts)
A one-sample t test was conducted to determine whether the mean dementia severity score
for clients over 60 years of age was higher than the population mean of 5 (M = 5.00). The
sample mean (M = 7.63, SD = 3.12) was significantly higher than the population mean, t(15) =
3.42, p = .004. These results suggest that older adults in this sample exhibited significantly
greater dementia symptom severity than the general population.
Figure 1
Histogram showing Dementia symptoms: Greater in Older vs General Population
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t
d
f
Significanc
e
Mea
n
Diffe
rence
95%
Confidence
Interval of
the
PSYC 354
Problem Sets 3-5: Cumulative
Problem Set 3: The BDI (Beck et al., 1961) is an instrument widely used to assess levels of
depression in individuals in a variety of settings. The scores range from 0–63 (whole numbers
only). A researcher administers the BDI to a sample of college students who are at risk for
depression and have volunteered for the study. The results appear in the table below. Enter the
data in a new SPSS file. They are entered as 2 columns here to save space (i.e., you will not need
2 columns in the SPSS file). Remember to put your initials within any and all variable names.
BDI Scores
9
6
9
9
11
3
8
5
6
10
4
40
38
2
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PSYC 354
2
11
17
7
7
10
1. Create a table of descriptive statistics using the “Explore” command. Paste the table here:
(5 pts)
Case Processing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
BDI_SCORES_
wj
18 100.0% 0 0.0% 18 100.0%
Descriptives
Statistic Std. Error
BDI_SCORES_
wj
Mean 10.3889 2.54263
95% Confidence Interval for
Mean
Lower Bound 5.0244
Upper Bound 15.7534
5% Trimmed Mean 9.2099
Median 7.5000
Variance 116.369
Std. Deviation 10.78746
Minimum 2.00
Maximum 40.00
Range 38.00
Interquartile Range 5.50
Skewness 2.359 .536
Kurtosis 4.846 1.038
2. Using the same data, create a histogram showing the distribution of BDI scores in the
sample. Paste the histogram here: (5 pts)
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3. Which measure of central tendency would you use to describe this data set? Support
your answer with information from course materials (presentation and/or reading). (5
pts) The median score of 7.50
4. The researcher wants to refer students who meet the criteria for “severe depression” to
counseling. On the BDI, scores from 31 to 40 indicate severe depression. Based on the
data above, should the researcher refer any students to counseling? Which ones? (5 pts)
Scores 38 and 40
Problem Set 4: A social psychologist wants to examine the distribution of different religions in
the US. He compiles the chart below. (The data here are based on real 2020 data taken from the
web site of the Public Religion Research Institute.)
Enter the data in a new SPSS file. When creating the Religion variable, be sure that the type is
set to “String” in the Variable View so that the names will show up on the graph. Remember to
put your initials within any and all variable names.
Religion Percent of US Population
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Protestan
t
Catholic
Mormon
Jewish
Muslim
Buddhist
Hindu
None
45.6
21.8
1.3
1.4
0.8
0.8
0.5
23.3
1. Using the data in the table above, set up a data file in SPSS and create a bar chart that
shows the percentages for each religion. Paste the bar chart here: (5 pts)
2. What level of measurement (nominal/ordinal/scale) is the variable “Percent of US
Population”, and why? (5 pts) The “Percent of US Population” variable is numeric and
represents the measurement
3. What level of measurement (nominal/ordinal/scale) is the variable “Religion”, and why?
(5 pts) “Religion” is a categorical variable that represents names
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Problem Set 5: The Wechsler Intelligence Scale for Children, version 5 (WISC-V) produces a
score called the Full-scale IQ (FSIQ) (Wechsler, 2014). The population mean for children
considered “gifted” is m = 136. A school psychologist administers the WISC-V to 18 fourthgrade
students being considered for advanced classes. The results appear in the table below. They are
entered as 2 columns here to save space (i.e., enter them in 1 column in your SPSS file).
Remember to put your initials within any and all variable names.
WISC-V FSIQ Scores
129
114
142
129
113
138
109
146
107
152
123
117
140
142
110
111
132
129
1. Using the data in the table above, set up a data file in SPSS and create a frequency
table to show the frequency of each score on the WISC-V. Paste the frequency table here:
(5 pts) 2. wiscv_FSIQ_scores_wj
Frequenc y
Percent
Valid Percent Cumulative
Percent
Valid 107.00 1 5.6 5.6 5.6
109.00 1 5.6 5.6 11.1
110.00 1 5.6 5.6 16.7
111.00 1 5.6 5.6 22.2
113.00 1 5.6 5.6 27.8
114.00 1 5.6 5.6 33.3
117.00 1 5.6 5.6 38.9
123.00 1 5.6 5.6 44.4
129.00 3 16.7 16.7 61.1
132.00 1 5.6 5.6 66.7
138.00 1 5.6 5.6 72.2
140.00 1 5.6 5.6 77.8
142.00 2 11.1 11.1 88.9
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146.00 1 5.6 5.6 94.4
152.00 1 5.6 5.6 100.0
Total 18 100.0 100.0
3. What percentage of children have a WISC-V score of 129? (5 pts) 61
4. What is the frequency of children who have a WISC-V score between 110 and 130? (5
pts) 9
5. Using the same data, create a histogram in SPSS to show the distribution of the WISC-V
scores. Paste the histogram here: (5 pts)
6. If the school psychologist uses the given population mean as a cutoff, how many
children would be admitted to advanced classes based solely on their WISC-V score? (5
pts) There are 6 scores greater than 136
END OF ASSIGNMENT
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