The \(P\)-value on page 476 was calculated using the \(R\) software command ks.test(x, "punif", 0,30 , alternative \(=\) "t")

The following are 15 measurements of the boiling point of a silicon compound (in degrees Celsius):

\[\begin{array}{lllllllllllllll} 166 & 141 & 136 & 154 & 170 & 162 & 155 & 146 & 183 & 157 & 148 & 132 & 160 & 175 & 150 \end{array}\]

(a) Use the Kolmogorov-Smirnov test at the 0.01 level of significance to test the null hypothesis that the boiling points come from a normal population with \(\mu=160\) degrees Celsius and \(\sigma=10\) degrees Celsius. Use the \(R\) software commands

\(y=c(166,141,136,154,170,162,155,146,183,157,148,132,160,175,150)\)

ks.test (y, "pnorm", \(\mathrm{m}=160\), sd \(=10\) )

(b) Calculate the Anderson-Darling statistic.

Data From Page 476

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EXAMPLE 9 Evaluating the Anderson-Darling statistic With reference to the preceding example, evaluate the Anderson-Darling statistic A.