An experiment tested the effect of music on factory workers€™ production. Four music programs (A, B, C, and D) were compared with no music (E). Each program was played for an entire day, and five replications for each program were desired. The length of the experiment was thus 5 weeks. To control for variation in week and day of the week, a Latin square design was adopted for the 25 days of the experiment. Each program was played once on each day of the week and once each week.

a. Does there appear to be a difference in mean workers€™ production totals among the five types of music? Use α = .05.
b. If there is a difference in mean workers€™ production totals, which of the four music programs ­appear to be associated with higher mean workers€™ production totals in comparison to no music?

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Week Mondy Tuesday Wednesday Thusday Friday 140 (D) 145 (A) 2 139 (A) 136 (E41 (B 143 (C) 146 (D) 3 138 (B) 139 (D 140 (E 139 (A) 142 (C) 129 (E 132 (B) 144 (B) 132 (E) 133 (E) 139 (B) 137 (C) 140 (A) 136 (D) 5 142 (D) 143 (C)142 (A)