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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Homework+5+%28Ch+7%29
2. A swimming school claimed that the average seven-year-old would be able to swim across
an Olympic-sized pool in less than 2 minutes (120 seconds) after taking lessons from their
instructors. To test this claim, a consumer psychologist arranged for eight randomly
selected seven-year-old children to take lessons at the school and recorded how long it took
each child to swim across a pool at the end of the lessons. The times (in seconds) were 60,
120, 110, 80, 70, 90, 100, and 130. What conclusion would the psychologist draw following
a t test for a single sample using 120 seconds as the "known" population mean and the .05
significance level?
Use the five steps of hypothesis testing and calculate effect size. Note that I gave you
scores instead of Sum of Squares (SS). You will have to calculate this yourself.
Step 1: Null and Research Hypothesis
Step 2: Create your comparison distribution
Participant X
(X-M)²
1
1225
2
625
3
4
5
6
7
8
SUM
X-M
60 +35
120
25
110
80
70
90
100
130
760
كل
Step 5: Decision
-15
25
-5
5
35
0
Step 4: Calculate your t Score
Step 3: Determine your Critical Values
225
225
525
23
25
1223
Step 6: Calculate Effect Size
4200
760
8
>
95
Meas
S:14.49
2
5
expand button
Transcribed Image Text:Homework+5+%28Ch+7%29 2. A swimming school claimed that the average seven-year-old would be able to swim across an Olympic-sized pool in less than 2 minutes (120 seconds) after taking lessons from their instructors. To test this claim, a consumer psychologist arranged for eight randomly selected seven-year-old children to take lessons at the school and recorded how long it took each child to swim across a pool at the end of the lessons. The times (in seconds) were 60, 120, 110, 80, 70, 90, 100, and 130. What conclusion would the psychologist draw following a t test for a single sample using 120 seconds as the "known" population mean and the .05 significance level? Use the five steps of hypothesis testing and calculate effect size. Note that I gave you scores instead of Sum of Squares (SS). You will have to calculate this yourself. Step 1: Null and Research Hypothesis Step 2: Create your comparison distribution Participant X (X-M)² 1 1225 2 625 3 4 5 6 7 8 SUM X-M 60 +35 120 25 110 80 70 90 100 130 760 كل Step 5: Decision -15 25 -5 5 35 0 Step 4: Calculate your t Score Step 3: Determine your Critical Values 225 225 525 23 25 1223 Step 6: Calculate Effect Size 4200 760 8 > 95 Meas S:14.49 2 5
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