21. The article The Effect of Enzyme Inducing Agents on the Survival Times of Rats Exposed to...

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21. The article The Effect of Enzyme Inducing Agents on the Survival Times of Rats Exposed to Lethal Levels of Nitrogen Dioxide (Toxicol. Appl. Pharmacol., 1978: 169—174) reports the following data on survival times for rats exposed to nitrogen dioxide

(70 ppm) via different injection regimens. There were J  14 rats in each group.

Regimen (min) si 1. Control 166 32 2. 3-Methylcholanthrene 303 53 3. Allylisopropylacetamide 266 54 4. Phenobarbital 212 35 5. Chlorpromazine 202 34 6. p-Aminobenzoic acid 184 31

a. Test the null hypothesis that true average survival time does not depend on injection regimen against the alternative that there is some dependence on injection regimen using a  .01.

b. Suppose that 100(1  a)% CIs for k different parametric functions are computed from the same ANOVA data set. Then it is easily veri ed that the simultaneous con dence level is at least 100(1  ka)%. Compute CIs with simultaneous con dence level at least 98% for the contrasts m1 (m2m3m4m5m6) and (m2m3

m4  m5)  m6.

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