Chapter 10.2, Problem 41E

To determine

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:

1. Data must be random.
2. Values must be independent of each other.
3. 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.