Question:
The authors of the paper Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement (International Journal of Nursing Studies [2010]: 931936) compared two different instruments for measuring a persons ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter. The Wright meter is thought to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. Use of the mini-Wright meter could be recommended as long as there is not convincing evidence that the mean reading for the mini- Wright meter is different from the mean reading for the Wright meter. Use the given data to determine if there is convincing evidence that the mean reading differs for the two instruments. For purposes of this exercise, you can assume that it is reasonable to consider the 17 Wright meter measurements and the 17 mini-Wright meter measurements as random samples from their respective population of measurements.
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