Refer to Example 13 concerning an array of sites that smell toxic chemicals. When exposed to the common manufacturing chemical Arsine, a product of arsenic and acid, the change in the red component is measured six times. (Courtesy of the authors)

\[\begin{array}{llllll}0.10 & -0.33 & -1.12 & -1.95 & -3.63 & -1.48\end{array}\]

(a) Test, with \(\alpha=0.05\), that the mean change \(\mu_{D}\) is different from 0 .

(b) Obtain a 95\% confidence interval for the mean change \(\mu_{D}\).

Data From Example 13

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EXAMPLE 13 Long-run relative frequency approximation to probability If records show that 294 of 300 ceramic insulators tested were able to withstand a certain thermal shock, what is the probability that any one untested insulator will be able to withstand the thermal shock?