MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Group Quiz Score
Caffeine 9
Caffeine 10
Caffeine 9
Caffeine 8
Placebo 7
Placebo 6
Placebo 4
Placebo 8
Placebo 5
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Transcribed Image Text:Group Quiz Score Caffeine 9 Caffeine 10 Caffeine 9 Caffeine 8 Placebo 7 Placebo 6 Placebo 4 Placebo 8 Placebo 5
Ana is a Cognitive Psychologist and coffee lover.
She decides to conduct a study investigating the
impact of coffee on quiz comprehension. She
randomly assigns participants to either the coffee
group or the placebo group. Thirty minutes before
the study begins, participants are given either a
cup of coffee to drink (the caffeine group) or a
cup of decaffeinated coffee to drink (the placebo
group/no caffeine group) while they sit in the
waiting room. Participants are not told whether
they are drinking regular coffee or decaffeinated
coffee. Following the thirty minutes, participants
enter the lab and are asked to read a passage of
text. After a short delay, participants are given a
quiz to complete where they answer a series of 10
questions about the passage they read earlier. Ana
is measuring the number of correct answers on
the quiz. Unfortunately, one participant did not
show up, so Ana was left with unequal sample
sizes: Five participants in the placebo group and 4
participants in the caffeine group. Ana is
interested in determining if
is a difference in
the number of quiz questions correctly answered
in the caffeine group relative to the placebo
group.
Use the data file, Caffeine.csv as needed to
answer the following:
d. With specific reference to the research
scenario described above, explain how the
calculation of pooled variance will be
influenced by the sample sizes in this study.
No calculations are required to answer this
question.
e. Calculate (by hand) and interpret Cohen's d
measure of effect size in this study. The
calculations you computed by hand need to
be clearly displayed along with an
interpretation of effect size.
f. Calculate (by hand) and report the
confidence interval. Please be sure to show
your calculations. Note, you will need to
consult the t-distribution table to identify the t
critical value.
g. Does the confidence interval you computed
in question f) imply a statistically significant
result? Explain.
expand button
Transcribed Image Text:Ana is a Cognitive Psychologist and coffee lover. She decides to conduct a study investigating the impact of coffee on quiz comprehension. She randomly assigns participants to either the coffee group or the placebo group. Thirty minutes before the study begins, participants are given either a cup of coffee to drink (the caffeine group) or a cup of decaffeinated coffee to drink (the placebo group/no caffeine group) while they sit in the waiting room. Participants are not told whether they are drinking regular coffee or decaffeinated coffee. Following the thirty minutes, participants enter the lab and are asked to read a passage of text. After a short delay, participants are given a quiz to complete where they answer a series of 10 questions about the passage they read earlier. Ana is measuring the number of correct answers on the quiz. Unfortunately, one participant did not show up, so Ana was left with unequal sample sizes: Five participants in the placebo group and 4 participants in the caffeine group. Ana is interested in determining if is a difference in the number of quiz questions correctly answered in the caffeine group relative to the placebo group. Use the data file, Caffeine.csv as needed to answer the following: d. With specific reference to the research scenario described above, explain how the calculation of pooled variance will be influenced by the sample sizes in this study. No calculations are required to answer this question. e. Calculate (by hand) and interpret Cohen's d measure of effect size in this study. The calculations you computed by hand need to be clearly displayed along with an interpretation of effect size. f. Calculate (by hand) and report the confidence interval. Please be sure to show your calculations. Note, you will need to consult the t-distribution table to identify the t critical value. g. Does the confidence interval you computed in question f) imply a statistically significant result? Explain.
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