HOMEWORK 1
1. What is the difference between descriptive and inferential statistics? Use examples for
each in your answer.
Descriptive statistics is using data to describe something we do know, like using a thermostat to
describe the current temperature. While inferential statistics uses data to make inferences of
something we do not know, like when we predict the future temperature of the week.
2. Indicate the scale (level) of measurement (nominal, ordinal, interval, or ratio) used in
each of the following scenarios.
a. The finishing places of one competitor during the 2018-2019 season of the
Women’s Downhill Skiing tournament. ORDINAL
b. The SAT scores for each student in the graduating class at Central High School.
NOMINAL
c. The weight in pounds of every adult male insured by Metropolitan Health
Insurance. RATIO
d. The zip codes of every person with the last name Hanks. NOMINAL
e. The numbers of all the roads (e.g., Highway 41) in the state of Virginia.
NOMINAL
f. The academic status (sophomore, junior, etc…) of all the students enrolled in
social psychology classes at the University of Maryland College Park. ORDINAL
g. The aggression scores (on a scale from –100 to +100) of a sample of police
personnel. RATIO
h. The average annual temperatures in Celsius of all the counties in Maryland.
INTERVAL
3. Provide brief hypothetical examples of a correlational research study and an experimental
research study.
An example of a correlational research study would be if there were three ice cream trucks, each
with a different jingle, and we memorized each jingle in relation to its truck. This is correlational
because one variable does not cause the other, they are related and the variables are being
measured, not manipulated. An example of an experimental research study would be having two randomly selected study groups, giving one a placebo pill and the other a pill that does nothing,
but not telling them which. There is a variable being manipulated here as well as random
assignment in place.
4. For the following two examples, indicate the independent variable, the dependent
variable, and one potential confounding variable.
a. An instructor wants to determine whether the color of the paper on which an exam
is typed influences a student's performance. She randomly selects half of a
statistics class to take an exam in one room with blue paper and the other to take
an exam in another room with white paper. The average exam scores for the two
groups are then computed and compared.
Independent variable: the color of the paper
Dependent variable: both groups have students from the same class taking the exam
Confounding variable: the exam content and how the environment/room their in affects them
b. A nurse wants to empirically test the old adage “starve a cold”. As people enter
her clinic, those that are diagnosed with the common cold are randomly divided
into three groups. One third of the patients are fed 150% of the normal dietary
intake, one third are fed 100% of the normal dietary intake, and one third are fed
50% of the normal dietary intake. 36 hours later, all patients are assessed again to
determine whether their symptoms have improved or deteriorated.
Independent variable: what percentage of normal dietary intake patients are being fed
Dependent variable: the amount of time
Confounding variable: how the subjects immune systems previously were (chronically ill or
possibly old)
Homework 1 Behavioral Statistics
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