MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text: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.
Manufacturer's shock absorbers
Car number
1
8.8
Competitor's shock absorbers
8.4
10.1
2
10.5
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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