Question

The manufacturer of a hot tub is interested in testing two different heating elements for its product. The element that produces the maximum heat gain after 15 minutes would be preferable. The manufacturer obtains 10 samples of each heating element and tests each one. The heat gain after 15 minutes (in °F) follows.

Unit 1: 25, 27, 29, 31, 30, 26, 24, 32, 33, 38

Unit 2: 31, 33, 32, 35, 34, 29, 38, 35, 37, 30

a) Using a non-parametric test at 5% alpha level, is there any reason to suspect that one unit is superior to the other?

b) Solve part (a) by Minitab and report the results.

Answer 1

SOLUTION:-

Minitab-Untitled Editor Jools Window Help Assistant File Edit Data Calc Stat Graph X Session Wilcoxon Signed Rank Test unit1, unit2 0.000000 0.000000 versus median not Test of median Estimated Hilcoxon N for Median Statistic Test 29.00 55.0 0.006 unitl 10 10 33.50 0.006 10 55.0 unit2 10 MTB STest 0.0 unitl' unit2 SUBC> Alternati ve 0.

Worksheet 1 C4 C5 C6 C3 CZ C1 unit1 unit2 31 25 1 33 27 2 32 29 3 35 31 4 30 34 5 26 29 24 7 38 32 35 33 37
Pvalue is 0.006 < 0.05 hence reject null hypothesis.