One hundred devices are put on life test and the times to failure (in hours) of the first 10 that fail are

\[\begin{array}{rrrrr} 7.0 & 14.1 & 18.9 & 31.6 & 52.8 \\ 80.0 & 164.5 & 355.4 & 451.0 & 795.1 \end{array}\]

Assuming a Weibull failure-time distribution, estimate the parameters \(\alpha\) and \(\beta\) as well as the failure rate at 1,000 hours. How does this value of the failure rate compare with the value we would obtain if we assumed the exponential model?