Assignment: t-Test

Using data to compare a sample to the
whole population or another targeted sample of people can
help researchers make predictions about future behavior or
phenomena. Comparisons and predictions such as these can answer
research questions and can make an argument or statement more
persuasive. When there are two groups to compare, tools such as the
one-sample t-test and the two-sample t-test allow researchers to
make such predictions and comparisons.

This application will allow you to further practice
hypothesis testing by using a t-test to compare scores from two
samples in order to determine if results are statistically
significant. Download the data set that you will use for this
assignment from the Weekly Data Set forum found on the course
navigation menu. Be sure to watch this week’s instructional video
in the introduction or Learning Resources folder before beginning
your Application Assignment.

Scenario: Imagine you are a researcher who is interested
in studying whether sleep deprivation leads to increased reaction
times (i.e., being slower) when driving. You randomly select a
sample of 30 licensed drivers. Fifteen participants are randomly
assigned to get 5 hours of sleep for three consecutive nights. The
other 15 participants are randomly assigned to get 8 hours of sleep
for three consecutive nights. For the purposes of this Assignment,
assume that all participants sleep exactly the required amounts.
After the third night, all participants take a driving simulation
test that measures their reaction times.

You can find the data for this Assignment in the Weekly Data
Set forum.

By Day 7

To complete this Assignment, submit a response to each
of the following. Use SPSS to determine if amount of sleep is
related to reaction time.

Explain whether the researcher should use an independent-samples
t-test or a related-samples t-test for this scenario.
Provide a rationale for your decision.

Identify the
independent variable and dependent variable.

Knowing the researcher believes that people who sleep less
will have slower reaction times, state the null
hypothesis and alternate hypothesis in words (not formulas).

Explain whether the researcher should use a one-tailed
test or two-tailed test and why.

Identify the obtained t value for this data set using SPSS.

State the degrees of freedom and explain how you calculated
it by hand.

Identify the p value using SPSS.

Explain whether the researcher should retain or reject the
null hypothesis. Provide a rationale for your decision. Are the
results statistically significant?

Explain what the researcher can conclude about
the relationship between amount of sleep and reaction
times.

Be sure to fully explain the rationale for your answer to each
question, including evidence from the text and Learning Resources.

Provide an APA reference list.

Submit three documents for grading:

Your text (Word) document with your answers and explanations to the assignment questions, your SPSS Data file, and your SPSS Output file, your SPSS Data file , and your SPSS Output file.

Submission and Grading Information

To submit your completed Assignment for review and grading,
do the following:

Click the Week 4 Assignment link. You will also be
able to “View Rubric” for grading criteria from this area.

Next, from the Attach File area, click on the Browse My
Computer button. Find the first document you want to attach
(your Word doc, SPSS Data file, or SPSS Output file) and
click Open. Repeat this for the remaining two documents.

If applicable: From the Plagiarism Tools area, click the
checkbox for I agree to submit my paper(s) to the Global
Reference Database.

Click on the Submit button to complete your
submission.

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reject the null hypothesis. Provide a rationale for your decision.
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