logistic_guy
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An experiment was conducted to study the effects of temperature and type of oven on the life of a particular component. Four types of ovens and \(\displaystyle 3\) temperature levels were used in the experiment. Twenty-four pieces were assigned randomly, two to each combination of treatments, and the following results recorded.
Using a \(\displaystyle 0.05\) level of significance, test the hypothesis that
\(\displaystyle \bold{(a)}\) different temperatures have no effect on the life of the component;
\(\displaystyle \bold{(b)}\) different ovens have no effect on the life of the component;
\(\displaystyle \bold{(c)}\) the type of oven and temperature do not interact.
\(\displaystyle \textcolor{white}{****}\) | \(\displaystyle \bold{Oven}\) |
Temperature \(\displaystyle (^\circ F)\) | \(\displaystyle O_1\) | \(\displaystyle O_2\) | \(\displaystyle O_3\) | \(\displaystyle O_4\) |
|---|---|---|---|---|
500 | 227 221 | 214 259 | 225 236 | 260 229 |
550 | 187 208 | 181 179 | 232 198 | 246 273 |
600 | 174 202 | 198 194 | 178 213 | 206 219 |
Using a \(\displaystyle 0.05\) level of significance, test the hypothesis that
\(\displaystyle \bold{(a)}\) different temperatures have no effect on the life of the component;
\(\displaystyle \bold{(b)}\) different ovens have no effect on the life of the component;
\(\displaystyle \bold{(c)}\) the type of oven and temperature do not interact.
