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Directions: Answer in complete sentences, and be sure to use correct English, spelling, and
grammar. Sources must be cited in APA format. Your response should be four (4) double‐
spaced pages;
You may have to use a spreadsheet application (such as, Microsoft Excel, Google Sheets, Apple
Numbers, and so on) to solve some of the problems.
1. (25 points) A prison psychologist recorded the number of rule infractions for 15 prison
inmates over a six-month period to be 5, 4, 2, 4, 3, 5, 2, 0, 4, 4, 5, 5, 3, 4, and 3.
a. Make a frequency table.
b. Make a histogram based on the frequency table.
c. Describe in words the shape of the histogram.
2. (25 points) Identify and solve this problem by hand.
The head of public safety notices that the average driving speed at a particular
intersection averages μ = 35 mph with a standard deviation of σ = 7.5 mph. After a school
speed limit sign of 20 mph is placed at the intersection, the first 40 cars travel past at an
average speed of 32 mph. Using the .01 significance level, was there a significant change
in driving speed?
a. Use the five steps of hypothesis testing (report results in APA format).
b. Sketch the distributions involved.
c. Figure the confidence limits for the 99% confidence interval.
3. (25 points) You’ll have to use a combination of a spreadsheet application and hand
calculations (for example, effect sizes) to solve the following problems.
A social psychologist gave a questionnaire about concern for farm workers to seven
participants before and after they attended a film about union organization of farm
workers. The results are shown below with high scores meaning high concern. Using the
.05 significance level, do these results support the hypothesis that the film affected
concern for the lives of farm workers?
Scores on the Concern Measure
Participant
Before
After
A
17
20
B
7
4
C
10
11
D
13
15
E
8
5
F
9
8
G
11
14
a. Use the five steps of hypothesis testing.
b. Figure the effect size and find the approximate power of this study.
c. Report results in APA format.
4. (25 points) You’ll have to use a combination of a spreadsheet application and hand
calculations (for example, effect sizes) to solve the following problems.
A team of cognitive psychologists studying the effects of sleep deprivation on short-term
memory decay had eight participants stay in a sleep lab for two days. Four participants
were randomly assigned to a condition in which they were not permitted to sleep during
that period, while the other four participants were allowed to sleep when they wanted to.
At the end of the two days, the participants completed a short-term memory task that
yielded the results in the table that follows. Using the .05 significance level, did sleep
deprivation reduce short-term memory?
Mean Number of Letters Remembered
Sleep Deprived
Normal Sleep
7
9
8
8
7
11
9
7
a. Create the appropriate graph for this problem.
b. Use the five steps of hypothesis testing.
c. Figure the effect size.
d. Report results in APA format.
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