To find: Whether the conditions required to perform two sample procedures are met or not.
Answer to Problem 41E
No, the conditions are not fulfilled
Explanation of Solution
Given:
The data set is:
Female percent | Male percent |
66 | 94 |
48 | 71 |
58 | 88 |
77 | 97 |
87 | 99 |
100 | 100 |
86 | 98 |
78 | 100 |
90 | 98 |
43 | 84 |
79 | 98 |
77 | 95 |
100 | 100 |
69 | 97 |
81 | 99 |
96 | 99 |
41 | 93 |
Concept used:
Following are the main conditions for two sample t-test:
- Data must be random.
- Values must be independent of each other.
- Data must be
normally distributed .
Graph:
Probability plot for men and women percent could be constructed as:
Interpretation:
From the constructed plot of male percent, it is clear that distribution is not normally distributed because distribution is showing curvature.
And, the data points of men and female percent are not independent.
Thus, the conditions required to perform two sample procedures are not satisfied.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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