A Researcher Is Interested in the Survival Times of a Particular

Multiple Choice

A researcher is interested in the survival times of a particular organism after it is subjected to three substances. The first is a radioactive material, the second is a biological material, and the third is a chemical (nonradioactive) substance. Organisms are brought into contact with each of the three substances to see how long they will last (in hours) until they die. The times are recorded for each substance used in the study, and the results are given below:
$$\begin{array} { | l | l | } \hline \text { Substance type } & \text { Lifetime } \\\hline \text { Radioactive } & 26,29,33 \\\hline \text { Biological } & 27,29,31 \\\hline \text { Chemical } & 31,34,37 \\\hline\end{array}$$ Under the null hypothesis that the three populations have the same continuous distribution, what is the best description of the distribution of H?

A) H has approximately a chi-square distribution with 3 degrees of freedom.
B) H has approximately an F(2, 6) distribution.
C) H has a distribution that cannot be evaluated because the populations may not be Normal.
D) None of the above