For each question, provide i) a graphical comparison of your two samples, ii) evidence that supports your choice of test (parametric or non-parametric), iii) your null and alternative hypotheses, and iv) evidence that supports your conclusions.

1. A study evaluated the effect of aggressive antibiotic treatment on pulmonary function of patients diagnosed with cystic fibrosis (Frederiksen et al., Pediatric Pulmonology, 1997). Forty-eight patients were provided the aggressive treatment, whereas 43 patients were not given the treatment and were considered the control. Percent change (%) in pulmonary function was determined for each patient after two years. Using the data provided, test the hypothesis that aggressive antibiotic treatment had an effect on pulmonary function.

Antibiotic control data

Change -4.75672512315214 -9.61878331843764 -7.48674718663096 2.69614945631474 8.69641411583871 -5.61911973636597 -4.03040944132954 2.00423031579703 -8.77059598453343 5.7679327018559 0.758063960820436 -3.55731267016381 -0.881531555205584 -7.9339038906619 -2.20499791670591 6.41759824939072 -1.26807733438909 0.684094787575305 -0.279218102805316 -1.86769714578986 1.39251444023103 -0.794708440080285 9.12189425434917 9.09307503141463 1.43246223218739 2.44477744214237 -5.6796781392768 8.08576823677868 9.61335287895054 -7.22898056264967 5.77395380474627 -5.98764224909246 8.53597504086792 -5.16938579268754 -2.13067572098225 -6.08284370042384 -6.31786620244384 -9.63310943450779 -0.0454289745539427 -4.4196598790586 -1.87532965093851 -9.57628450356424 -3.94780276343226

Antibiotic treatment data

Change -3.26667810091749 4.49571647681296 9.71708203549497 1.82596522266977 -4.34237583307549 2.27879521902651 1.80186892393976 3.57456332887523 8.40236305724829 -0.00361212296411395 -3.44022574136034 6.10461175441742 -1.28878581803292 0.352445172611624 6.4883076318074 0.266943774186075 2.96413401607424 -3.86676577967592 -2.10407314705662 0.657534950878471 7.50500164460391 7.64029856771231 8.1717010831926 -2.36154688056558 -0.0269044190645218 7.9488257644698 -0.461510439636186 4.51033786521293 -3.55042665963992 9.58363801939413 -3.27678991016001 3.60731918830425 8.73103352147155 6.94371791672893 4.95866878773086 -3.10068446910009 -0.0838302506599575 5.23565309122205 -1.11149916425347 0.471286076353863 -2.9333823453635 2.24517347407527 2.40997987566516 5.75514584430493 4.92312208982185 -2.61335128685459 -1.62586774909869 4.35256478493102