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There is a rumor that female college students gain an average of 15 lbs during t

ID: 3331866 • Letter: T

Question

There is a rumor that female college students gain an average of 15 lbs during their first year of college (the Freshman Fifteen.) You observe 18 randomly chosen freshmen. You measure their weight at the beginning of freshman year and again at the end. The data are listed in the table below
Student - Initial Weight - Final Weight
Abigail 118 119
Betty 123 145
Charlene 103 127
Debra 144 158
Eunice 134 130
Francie 122 125
Georgia 130 138
Holly 111 113
Indira 103 115
Juliet 98 107
Kathy 126 124
Lucretia 121 138
Minnie 102 104
Nancy 104 134
Olivia 178 180
Pearl 133 144
Qadesha 113 126
Rose 126 144

(1) Explain why this is a matched pairs observational study.

Explanation / Answer

(1) This is a matched pairs observational study.

REASON:

Here, the two samples are not independent. The values of items in one sample are not independent of the values of the other. In this situation, the weights of he same 18 Nos of freshmen are measured at the beginning of freshmen year and again at the end.The sample values are correlated pairs.

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