In: Statistics and Probability
7. Chapter 13, Question 2: Use the attached data file “Chapter 13 Data Set 1” to answer this question in the book. Do you agree with the author’s conclusion about whether practice time makes a difference?
<15 Hours Practice | 15-25 Hours Practice | More than 25 Hours Practice |
58.7 | 64.4 | 68 |
55.3 | 55.8 | 65.9 |
61.8 | 58.7 | 54.7 |
49.5 | 54.7 | 53.6 |
64.5 | 52.7 | 58.7 |
61 | 67.8 | 58.7 |
65.7 | 61.6 | 65.7 |
51.4 | 58.7 | 66.5 |
53.6 | 54.6 | 56.7 |
59 | 51.5 | 55.4 |
54.7 | 51.5 | |
61.4 | 54.8 | |
56.9 | 57.2 |
For the given data using Anova: Single Factor in Excel we get output as
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
<15 Hours Practice | 10 | 580.5 | 58.05 | 29.87833 | ||
15-25 Hours Practice | 13 | 753.5 | 57.96154 | 22.68423 | ||
More than 25 Hours Practice | 13 | 767.4 | 59.03077 | 31.07897 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 8.868761 | 2 | 4.43438 | 0.160092 | 0.852723 | 3.284918 |
Within Groups | 914.0635 | 33 | 27.69889 | |||
Total | 922.9322 | 35 |
So from the above output