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Analysis of variance may be used in an industrial setting. For example, man- agers of a soda-bottling company suspected that four filling machines were not filling the soda cans in a uniform way. An experiment on four machines doing five runs each gave the data in the following table.
Liquid Weight of Machine-Filled Cans in Ounces
Machine A
Machine B
Machine C
Machine D
12.05
11.98
12.04
12.00
12.07
12.03
11.97
12.06
12.02
11.99
11.96
Based on the analysis of variance, is there a difference in the average number of ounces filled by the four machines? Apply Tukey's HSD test to compare the mean differences if the overall ANOVA test is significant at the 5% level.
Compute the 95% confidence interval around the mean of each of the three groups and plot the confidence interval in the space provided above.
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