11.34 The authors of the paper “Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement” (International Journal of Nursing Studies

[2010]: 931–936) compared two different instruments for measuring a person’s capacity for breathing out air.

(This measurement is helpful in diagnosing various Player Position Player Dominant Arm Position Player Nondominant Arm Pitcher Pitcher Dominant Arm Pitcher Nondominant Arm 1 30.31 32.54 1 27.63 24.33 2 44.86 40.95 2 30.57 26.36 3 22.09 23.48 3 32.62 30.62 4 31.26 31.11 4 39.79 33.74 5 28.07 28.75 5 28.50 29.84 6 31.93 29.32 6 26.70 26.71 7 34.68 34.79 7 30.34 26.45 8 29.10 28.87 8 28.69 21.49 9 25.51 27.59 9 31.19 20.82 10 22.49 21.01 10 36.00 21.75 11 28.74 30.31 11 31.58 28.32 12 27.89 27.92 12 32.55 27.22 13 28.48 27.85 13 29.56 28.86 14 25.60 24.95 14 28.64 28.58 15 20.21 21.59 15 28.58 27.15 16 33.77 32.48 16 31.99 29.46 17 32.59 32.48 17 27.16 21.26 18 32.60 31.61 19 29.30 27.46 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 Wright meter. For purposes of this exercise, you can assume that it is reasonable to consider the 17 people who participated in this study as representative of the population of interest.
Use the given data to determine if there is convincing evidence that the mean reading differs for the two instruments.
Subject Mini Wright Meter Wright Meter 1 512 494 2 430 395 3 520 516 4 428 434 5 500 476 6 600 557 7 364 413 8 380 442 9 658 650 10 445 433 11 432 417 12 626 656 13 260 267 14 477 478 15 259 178 16 350 423 17 451 427