2. SWIMMER'S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports science. A swimmer's flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a study conducted to determine if there is an improvement in swim speed after doing flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After this, a flexibility exercise was done. All the swimmers were then asked to do another 25- m freestyle and their swim speed (in seconds) were also recorded.". (Use before - after in your computations) Swimmer 2 4 6 8. Before 16.87 19.42 20.04 22.82 24.24 17.76 23.91 17.17 After 15.82 18.47 20.43 21.76 23.88 18.12 20.96 16.03 Swimmer 9 10 | 11 12 13 14 15 Before 17.45 15.53 22.15 18.26 16.65 20.51 18.46 After 18.48 15.41 20.91 19.18 14.45 18.86 19.89 Ho: (in symbols)_ before doing flexibility exercise is swimmers after doing flexibility exercise. (in words) The average swim speed of swimmers the average swim speed of Ha: (in symbols) before doing flexibility exercise is swimmers after doing flexibility exercise. - (in words) The average swim speed of swimmers the average swim speed of Test Procedure: Justify your choice of test procedure: p-value: Conclusion: At alpha = 0.05, %3!
2. SWIMMER'S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports science. A swimmer's flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a study conducted to determine if there is an improvement in swim speed after doing flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After this, a flexibility exercise was done. All the swimmers were then asked to do another 25- m freestyle and their swim speed (in seconds) were also recorded.". (Use before - after in your computations) Swimmer 2 4 6 8. Before 16.87 19.42 20.04 22.82 24.24 17.76 23.91 17.17 After 15.82 18.47 20.43 21.76 23.88 18.12 20.96 16.03 Swimmer 9 10 | 11 12 13 14 15 Before 17.45 15.53 22.15 18.26 16.65 20.51 18.46 After 18.48 15.41 20.91 19.18 14.45 18.86 19.89 Ho: (in symbols)_ before doing flexibility exercise is swimmers after doing flexibility exercise. (in words) The average swim speed of swimmers the average swim speed of Ha: (in symbols) before doing flexibility exercise is swimmers after doing flexibility exercise. - (in words) The average swim speed of swimmers the average swim speed of Test Procedure: Justify your choice of test procedure: p-value: Conclusion: At alpha = 0.05, %3!
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer the blanks with ref highlighted marks. Use image two to determine the test procedure and p value
Transcribed Image Text:2. SWIMMER'S FLEXIBILITY STUDY
Swimming requires complete body movement as defined in sports science. A swimmer's
flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a
study conducted to determine if there is an improvement in swim speed after doing
flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They
were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After
this, a flexibility exercise was done. All the swimmers were then asked to do another 25-
m freestyle and their swim speed (in seconds) were also recorded.".
(Use before - after in your computations)
Swimmer
2
4
8.
Before
16.87
19.42
20.04
22.82
24.24
17.76
23.91
17.17
After
15.82
18.47
20.43
21.76
23.88
18.12
20.96
16.03
Swimmer
9
10
11
12
13
14
15
Before
17.45
15.53
22.15
18.26
16.65
20.51
18.46
After
18.48
15.41
20.91
19.18
14.45
18.86
19.89
Ho: (in symbols)
before doing flexibility exercise is
swimmers after doing flexibility exercise.
(in words) The average swim speed of swimmers
the average swim speed of
Ha: (in symbols)
before doing flexibility exercise is
swimmers after doing flexibility exercise.
; (in words) The average swim speed of swimmers
the average swim speed of
Test Procedure:
Justify your choice of test procedure:
p-value:
Conclusion: At alpha = 0.05,
Transcribed Image Text:2. SWIMMER'S FLEXIBILITY STUDY
Some statistics
Before:
mean = 19.4160; median = 18.46
After:
mean = 18.8433; median = 18.86
Let difference = before – after
d = 0.5727
md = 0.95
Wilk-Shapiro Test for Normality
before
W = 0.92695
p-value = 0.2456
data:
data:
after
data:
difference
W = 0.97168
p-value = 0.8821
W = 0.96992
p-value = 0.8569
Student's t-test on Paired Samples: Before vs After
Ha: less than 0
t = 1.7819
Ha: not equal to 0
Ha: greater than 0
t = 1.7819
t = 1.7819
p-value = 0.09646
p-value = 0.9518
p-value = 0.04823
Ha: not equal to 0
V = 89.5
Wilcoxon Matched-Pairs Signed Ranks Test: Before vs After
Ha: less than 0
V = 89.5
Ha: greater than 0
V = 89.5
p-value = 0.09947
p-value = 0.9558
p-value = 0.04974
F-test for Equality of Variances
F = 1.1255
p-value = 0.828
Student's t-test on Two Independent Pop’n Means: Before vs After
Ha: greater than 0
t = 0.58311
Ha: less than 0
t = 0.58311
Ha: not equal to 0
t = 0.58311
p-value = 0.5645
p-value = 0.7178
p-value = 0.2822
Welch's t-test on Two Independent Pop'n Means: Before vs After
Ha: greater than 0
t = 0.58311
Ha: not equal to 0
Ha: less than 0
t = 0.58311
t = 0.58311
p-value = 0.5645
p-value = 0.7177
p-value = 0.2823
Mann-Whitney Test on Two Independent Pop’n Means: Before vs After
Ha: less than 0
W = 120
p-value = 0.6281
Ha: not equal to 0
W = 120
p-value = 0.7748
Ha: greater than 0
W = 120
p-value = 0.3874
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