It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows.

Using the Wilcoxon signed-rank test, determine whether the suggested changes are worthwhile.
a. State the null hypothesis.
b. You decide on the alternate hypothesis.
c. You decide on the level of significance.
d. State the decision rule.
e. Compute T and arrive at a decision.
f. What did you assume about the distribution of thedifferences?

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Production after Production after Past Production Installing Lighting Past Production Installing Lighting Employee Record Music, etc. Employee Record Music, etc. JD MD MF 26 30 25 19 WWJ CD RRT 25 23 15 26 24 25 16 20 20 24 30 UHH AT 29 23 30