Use the information below to answer questions 911 A study wa

Use the information below to answer questions 9-11 A study was done in other to determine how writing surface (Factor A) and pens\' brand (Factor B) affect the lifetimes of pens. Other conditions being held constant, the lifetimes of brand-surface combination are contained in the table below. The partial ANOV A table is also provided Writing Surface 713; 726 722;740 666; 684 704; 666 660; 645 692;720 678; 750 686,733 Brand of Pern 709; 659 2 668; 685 3 | 65% 685 4 698;650

Solution

9. No. of levels for treatments:

Writing surface : a = 3

Brand : b = 4

No. of repetitions = n =2

Source	DF	SS	MS	F
A	=2	2888.1	=2888.1/2 = 1444.05	=1444.05/684.67 = 2.11
B	=3	1387.5	=1387.5/3 = 462.5	=462.5/684.67 = 0.68
AB	=2*3 = 6	8100.2	=8100.2/6 = 1350.03	=1350.03/684.67 = 1.97
Error	=3*4*(2-1) = 12	8216	= 8216/12 = 684.67
Total	=3*4*2-1 = 23	20591	= 20591/23 = 895.26