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 at 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 60 1225 625 2 120 110. 225 80 -15 225 70 90 100 130 760 3 4 5 6 7 8 SUM X-M +35 25 Step 5: Decision كل оимийти 25 35 Step 3: Determine your Critical Values Step 4: Calculate your t Score 23 25 1223 4200 Step 6: Calculate Effect Size 760 8 S 45 Meas 5:24-49
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 at 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 60 1225 625 2 120 110. 225 80 -15 225 70 90 100 130 760 3 4 5 6 7 8 SUM X-M +35 25 Step 5: Decision كل оимийти 25 35 Step 3: Determine your Critical Values Step 4: Calculate your t Score 23 25 1223 4200 Step 6: Calculate Effect Size 760 8 S 45 Meas 5:24-49
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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