In: Statistics and Probability
Description: Endurance Times for nine well-trained cyclists, on each |
of 3 doses of caffeine (0,5,13 mg) |
cyclists were given dose of caffeine and one hour later cycled till exhausted |
Variables/Columns |
Subject id 1-15 |
Dose 0, 5, 13 |
endurance time /* minutes until exhaustion at 80% Wmax on cycle */ |
Data:
Cyclist id |
0mg |
mg5 |
mg13 |
|
1 |
43.44 |
42.47 |
37.55 |
|
2 |
33.67 |
85.15 |
61.53 |
|
3 |
64.25 |
63.20 |
71.28 |
|
4 |
46.15 |
52.10 |
54.76 |
|
5 |
59.71 |
66.20 |
68.35 |
|
6 |
48.75 |
73.25 |
69.47 |
|
7 |
42.43 |
44.50 |
46.48 |
|
8 |
55.32 |
57.17 |
62.35 |
|
9 |
33.26 |
35.05 |
36.20 |
|
10 |
41.44 |
44.47 |
44.35 |
|
11 |
44.15 |
48.52 |
53.46 |
|
12 |
54.34 |
58.70 |
64.21 |
|
13 |
58.75 |
65.25 |
71.62 |
|
14 |
34.35 |
47.37 |
58.03 |
|
15 |
47.87 |
77.27 |
65.35 |
Statistic |
Group 1- |
Group 2- |
Group 3- |
|
Mean |
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Median |
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Standard deviation |
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Variance |
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Range |
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95% confidence interval of mean |
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Count |
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Create and insert at least 2 charts that portray your data, for example bar chart showing the difference between the groups, or line graph showing the relationship between two variables.
What is your null hypothesis about the data?
What is your alternative hypothesis?
Choose the appropriate test to run (one-sample z, t-test, ANOVA, linear regression, or chi-square). What test did you choose and why is it appropriate for the dataset?
Run the relevant statistical test. Insert your results from the chosen test.
Is this test statistically significant? How did you make this determination?
What is your statistical conclusion (i.e. are you rejecting or failing to reject the null hypothesis)?
What is your experimental conclusion (i.e. what are you concluding about your original hypothesis based on the test that you have conducted)?
The appropriate test for the dataset to run is One Way ANOVA.
It is appropriate for the dataset, because, the one-way ANOVA is used to determine whether there are any statistically significant differences between the means of three independents (unrelated) doses of caffeine (0,5,13 mg).