In a vibration study, certain airplane components were subjected to severe vibrations until they showed structural failures. Given the following failure times (in minutes), test whether they can be looked upon as a sample from an exponential population with the mean \(\mu=10\) :

\[\begin{array}{rrrrrrrrr} 1.5 & 10.3 & 3.6 & 13.4 & 18.4 & 7.7 & 24.3 & 10.7 & 8.4 \\ 15.4 & 4.9 & 2.8 & 7.9 & 11.9 & 12.0 & 16.2 & 6.8 & 14.7 \end{array}\]

Use the Kolmogorov-Smirnov test with a 0.05 level of significance. Refer to Exercise 14.14, but use the \(R\) command

Data From Exercise 14.14

Transcribed Image Text:

ks.test(x, "pweibull", shape = 1, scale = 10)