Silicon chip manufacturers require the use of so-called "clean rooms" in which the air is filtered in a special way to keep the number of dust particles to a minimum. Five air samples were taken in each room and the dust level was measured on a scale of 1 (low) to 10 (high). Room 1 Room 2 Room 3 5 3 1 6.5 6 1.5 4 4 3 7 4.5 2.5 6 3 4 a) Do an analysis of variance and interpret the result.

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Silicon chip manufacturers require the use of so-called "clean rooms" in which the air is filtered in a special way to keep the number of dust particles to a minimum. Five air samples were taken in each room and the dust level was measured on a scale of 1 (low) to 10 (high).

Room 1 Room 2 Room 3
5 3 1
6.5 6 1.5
4 4 3
7 4.5 2.5
6 3 4

a) Do an analysis of variance and interpret the result.
b) Based on the above results, if appropriate, use the Tukey-Kramer test to make all pairwise comparisons of clean rooms.

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