• (a)Trendy tyres Ltd. has introduced a new brand of tires which in their advertisements claim to be superior to their only competitor brand. The Road master tyres. The brand manager of Road master tyres disputes this claim which he says is an advertisement gimmick. The brand managers of the two companies agree to run a road test for the brands. Ten (10) saloon cars of uniform weight and identical specifications are to be used for the test. Each car is fitted with both brands of tires: One brand at the front the other brand at the rear.  
• The cars cover a distance of 5,000 kilometers and the trend wear is recorded as follow

	Trend tyres (centimeters)	Road master tyres (centimeters)
1	1.08	1.12
2	1.06	1.09
3	1.24	1.16
4	1.20	1.24
5	1.17	1.23
6	1.21	1.25
7	1.18	1.20
8	1.10	1.15
9	1.22	1.19
10	1.60	1.13

•  
• Required:     
• Determine whether Trendy Tyres Ltd.’s claim is true using ▫  = 0.01             [8 Marks]    
• What are the assumptions you have made in (i) above?                                  [2 Marks]