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In: Statistics and Probability

Psychologists have studied the effect of the working environment or surroundings on the quality and quantity...

Psychologists have studied the effect of the working environment or surroundings on the quality and quantity of work done. Many businesses have music piped into the work area to improve the environment. An experiment is performed to determine which type of music is best suited for a particular company. Three types of music, country, rock, and classical, are tried, each on four randomly selected workdays. The productivity is measured by recording the number of items produced on each of the four days. The results are shown in the table.

Country Rock Classical
857 791 824
801 753 847
795 781 881
842 842 842

SST=18056.250SST=18056.250

(a) State the assumptions required to analyze this data using ANOVA.

(b) Construct an ANOVA table for this experiment.

(c) Can we conclude that the mean number of items produced differ for three types of music? State appropriate null and alternative hypotheses and test at α=0.05α=0.05.

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orchestra answered 2 years ago
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