Question

The effective life (in hours) of batteries is compared by material type (1, 2 or 3) and operating temperature: Low (-10˚C), Medium (20˚C) or High (45˚C). Twelve batteries are randomly selected from each material type and are then randomly allocated to each temperature level. The resulting life of all 36 batteries is shown below:

		Temperature
		Low (-10˚C)	Medium (20˚C)	High (45˚C)
Material type	1	130, 155, 74, 180	34, 40, 80, 75	20, 70, 82, 58
	2	150, 188, 159, 126	136, 122, 106, 115	25, 70, 58, 45
	3	138, 110, 168, 160	174, 120, 150, 139	96, 104, 82, 60

Research question: Is there difference in mean life of the batteries for differing material type and operating temperature levels? Perform a 4 C’s analysis to answer the research question. Perform a multiple comparison procedure test to determine which pairs differ significantly.

Answer 1