The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 After practice, do foortball players have different mean CPK values compared to soccer players? Test this claim by performing a hypothesis test, using α=0.10.
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Units and Measurements
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The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows :
| n=25 | Before Practice | After Practice | Difference (Before-After) |
|---|---|---|---|
| 254.73 | 225.6 | 29.13 | |
| Standard deviation | 115.5 | 132.6 | 21.00 |
| n=15 | Before Practice | After Practice | Difference (Before-After) |
|---|---|---|---|
| Mean | 177.1 | 173.8 | 3.3 |
| Standard deviation | 60.7 | 64.4 | 6.88 |
After practice, do foortball players have different mean CPK values compared to soccer players? Test this claim by performing a hypothesis test, using α=0.10.
Given:
In blood samples it involves the measure of amount muscle damage the athletes. The level of CPK was determined based on 25 football players and 15 soccer players before and after practice.
The data is shown below as,
|
n=25 |
Before Practice |
After Practice |
Difference (Before-After) |
|
Mean |
254.73 |
225.6 |
29.13 |
|
Standard deviation |
115.5 |
132.6 |
21.00 |
|
n=15 |
Before Practice |
After Practice |
Difference (Before-After) |
|
Mean |
177.1 |
173.8 |
3.3 |
|
Standard deviation |
60.7 |
64.4 |
6.88 |
|
|
|
|
|
The hypothesis test is done using the value of α=0.10.
On testing the football players having different mean that follows the CPK values on comparing the soccer players that is done after practice.
The Hypothesis is done as follows,
H0 :μa = μ’a
H1 :μa ≠ μ’a
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