A manufacturer of automobile shock absorbers was interested in comparing the durability of its shock absorbers with that of the shock absorbers produced by its biggest competitor. To make the comparison, one of the manufacturer's and one of the competitor's shock absorbers were randomly selected and installed on the rear wheels of each of six cars. After the cars had been driven 20,000 kilometres, the strength of each test shock absorbers was measured, coded and recorded. It is given that the population variances are equal for both groups. The results of the examination are shown in the Table below. Car number Manufacturer's shock absorbers Competitor's shock absorbers 1 8.8 8.4 2 10.5 10.1 3 12.5 12.0 4 9.7 9.3 5 9.6 9.0 6 13.2 13.0 Determine whether there is sufficient evidence to conclude that there is a difference in the mean strength of the two types of shock absorbers after 20,000 kilometres of use by using a level of significance of 0.05

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