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 3 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 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 a. The samples above are (related/independent) samples. b. At 5% alpha, perform test(s) to determine which test procedure should be used to compare the two populations involved. For EACH test, indicate the following: Ho (in words): Ha (in words): Test Procedure: p-value: Conclusion: c. Based on the results in #2b, the appropriate test procedure to answer the objective of the researchers is a test procedure. (parametric/non-parametric) d. A point estimate of the average difference in swim speed of swimmers before and after doing flexibility exercise is
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 3 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 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 a. The samples above are (related/independent) samples. b. At 5% alpha, perform test(s) to determine which test procedure should be used to compare the two populations involved. For EACH test, indicate the following: Ho (in words): Ha (in words): Test Procedure: p-value: Conclusion: c. Based on the results in #2b, the appropriate test procedure to answer the objective of the researchers is a test procedure. (parametric/non-parametric) d. A point estimate of the average difference in swim speed of swimmers before and after doing flexibility exercise is
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 a, b, c, d. For the test procedure and p-value use the second image
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
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
6.
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
a. The samples above are
(related/independent) samples.
b. At 5% alpha, perform test(s) to determine which test procedure should be used
to compare the two populations involved. For EACH test, indicate the following:
Ho (in words):
Ha (in words):
Test Procedure:
p-value:
Conclusion:
C. Based on the results in #2b, the appropriate test procedure to answer the
objective of the researchers is a
test procedure.
(parametric/non-parametric)
d. A point estimate of the average difference in swim speed of swimmers before
and after doing flexibility exercise is
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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