With reference to the Example 14, suppose the expert opinion is in error. Calculate the probability that the supports will survive if

(a) \(\mu=3.0\) and \(\sigma^{2}=0.09\);

(b) \(\mu=4.0\) and \(\sigma^{2}=0.25\).

Data From Example 14

EXAMPLE I Types of Inference: point estimation, interval estimation, and testing hypotheses Refer to Example 14, Chapter 2, and the data on recycled concrete pavement. Green engineering practices require that their strength be accessed before using them in the base of roadways. Measurements of the resiliency modulus(MPa) on n = 18 specimens of recycled concrete aggregate produce the ordered values (Courtesy of Tuncer Edil). 136 143 147 151 158 160 161 163 165 167 173 174 181 181 185 188 190 205 The descriptive summary for the sample is sample standard deviation s = 18.10 sample mean = 168.2 sample median 166 first quartile 158 third quartile 181 However, our goal here is not just the particular measurements recorded here but rather, it concerns the vast population of values for all possible recycled concrete pavements. Discuss approaches for generalizing from this sample to the population.