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9.8 Confidence Interval to Compare Two Population Means: Matched-Pair Experiments

A researcher suspects that men, if given the chance, would lie about their heights. She suspects that they would try to say they are taller than they really are. To test this, the researcher first asks the male subjects to report their heights, and then she actually measures them. The subjects do not know they will be measured. Use the data below to construct a 95% confidence interval for the true between measured heights and reported heights. Is zero in the interval? If so, what does this tell us?
Reported height     68     71    63   70    71   60     65    64  54      63   66   72
Measured height 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67  55.6  74.2 65  70.8
 

 

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