Chapter 8: Q100SE (page 505)
Durability of shock absorbers. A manufacturer of automobile shock absorbers was interested in comparing the durability of its shocks with that of the shocks produced by HULL SHOCK, its biggest competitor. To make the comparison, one of the manufacturer鈥檚 and one of the competitor鈥檚 shocks were randomly selected and installed on the rear wheels of each six cars. After the cars had been driven 20,000 miles, the strength of each test shock was measured, coded, and recorded. Results of the examination are shown in the table.
Card number | Manufacture鈥檚 Shock | Competitor鈥檚 Shock |
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 |
a. Explain why the data are collected as matched pairs.
Short Answer
a. The Manufacturer鈥檚 shock and the Competitor鈥檚 shocks are dependent samples. So, these two samples are collected as matched pairs.