A coach wishes to compare the improvement in bowling scores between bowlers who receive $1.00 for every strike and those who receive no rewards. However, she feels that the Zodiac signs of the bowlers may have a bearing on their performance. So, she matches the groups according to their Zodiac signs. Then, after one month of giving Group A $1.00 rewards for strikes and giving Group B no rewards, she tests for the difference in improvement between the two groups. Because the Zodiac sign likely has no bearing on performance, what can we conclude?
a. She reduced the size of the error in the t-ratio by matching the groups according to Zodiac signs.
b. There are more degrees of freedom than if she had not matched the groups.
c. She increased the power of the test of the null hypothesis.
d. One group would show much larger practice effects than the other.
e. She decreased the power of the test.
Ans: e
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