**6. Weibull reliability test for the deterioration of the depth of the roads in lucky way, Mission road, new Benin road, Ogida road, ring road, Sapele road, technical college road and textile mill road**

The shape parameter *β* and the 95% confidence interval of *β* for the data pertaining to depth of the roads in Lucky Way, Mission Road, New Benin Road, Ogida Road, Ring Road, Sapele Road, Technical College Road and Textile Mill Road are given in **Table 7**. It may be stated the road is reliable and there is not enough evidence for the deterioration of the road if the shape parameter *β* is close to 1 and the 95% confidence interval of *β* contains 1.

There is enough evidence for the deterioration of the depth of the roads in Lucky Way, Mission Road, New Benin Road, Ogida Road, Ring Road, Sapele Road, Technical College Road and Textile Mill Road since the value of *<sup>β</sup>*^ <sup>¼</sup> <sup>22</sup>*:*50 from **Table 7** is far from 1, and the approximately 95% confidence interval for *<sup>β</sup>*^½ � <sup>10</sup>*:*02, 50*:*<sup>53</sup> does not contain 1. The plot of the failure rate or hazard function, which describes the likelihood of deterioration in depth during the next time increment is given in **Figure 15**.

