Data on resting and post-exercise pulse rates were collected for 8 individuals b
ID: 3133985 • Letter: D
Question
Data on resting and post-exercise pulse rates were collected for 8 individuals between 19 and 22 years of age. We wish to know if there is a difference in pre-exercise and post-exercise pulse rates. State the null and alternative statistical hypotheses for this experiment, analyze these data using the appropriate statistic, report your statistical findings, and describe your conclusions.
Individual Number
Resting
Post-exercise
1
108
112
2
60
70
3
70
78
4
54
108
5
54
64
6
72
80
7
101
108
8
96
106
Individual Number
Resting
Post-exercise
1
108
112
2
60
70
3
70
78
4
54
108
5
54
64
6
72
80
7
101
108
8
96
106
Explanation / Answer
The differences are
4
10
8
54
10
8
7
10
Formulating the null and alternative hypotheses,
Ho: ud <= 0
Ha: ud > 0
At level of significance = 0.05
As we can see, this is a right tailed test.
Calculating the standard deviation of the differences
s = 14.7162557
Thus, the standard error of the difference is sD = s/sqrt(n):
sD = 5.202982099
Calculating the mean of the differences
XD = 13.875
As t = [XD - uD]/sD, where uD = the hypothesized difference = 0 , then
t = 2.666739907
As df = n - 1 = 7
Then the critical value of t is
tcrit = + 1.894578605
Also, using p values,
p = 0.016075652
As P < 0.05, and t > 1.895, WE REJECT THE NULL HYPOTHESIS.
Hence, there is significant evidence at 0.05 level that the post exercuse pulse rates are greater on the average than the resting pulse rates. [CONCLUSION]
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