1.An engineer is interested in testing the fill volume of two different machines
ID: 3436470 • Letter: 1
Question
1.An engineer is interested in testing the fill volume of two different machines. Two random samples of size 5 measurements were selected to determine if there is a significance difference between their mean fill volumes. The measurements (in ounces) are shown in the accompanying table. State your conclusion using the Wilcoxon Rank-Sum Test at ?=0.05.
Machine#1 Machine#2
16.03 16.00
16.04 15.97
16.05 15.95
16.02 15.99
15.96 15.97
Explanation / Answer
16.03
16.05
15.96
W value
sum of ranks
z value
Result 1 - Z-value
The Z-value is -1.7529. However, the size of N (5) is not large enough for the distribution of the Wilcoxon W statistic to form a normal distribution. Therefore, it is not possible to calculate an accurate p-value.
Treatment I Treatment II Sign Abs R Sign R16.03
16 1 0.03 3 3 16.04 15.97 1 0.07 4 416.05
15.95 1 0.1 5 5 16.02 15.99 1 0.03 2 215.96
15.97 -1 0.01 1 -1W value
1 Mean diff 0.05sum of ranks
14 sum of neg ranks 1z value
-1.7529 Sample size 5 Result 1 - Z-valueRelated Questions
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