# Question

If the same hypothesis is tested often enough, it is likely to be rejected at least once, even if it is true. A professor of biology, attempting to demonstrate this fact, ran white mice through a maze to determine if white mice ran the maze faster than the norm established by many previous tests involving various colors of mice.

(a) If the professor conducts this experiment once with several mice (using the 0.05 level of significance), what is the probability that he will come up with a “significant” result even if the color of the mouse does not affect its speed in running the maze?

(b) If the professor repeats the experiment with a new set of white mice, what is the probability that at least one of the experiments will yield a “significant” result even if the color of a mouse does not affect its maze- running speed?

(c) If the professor has 30 of his students independently run the same experiment, each with a different group of white mice, what is the probability that at least one of these experiments will come up “significant” even if mouse color plays no role in their maze-running speed?

(a) If the professor conducts this experiment once with several mice (using the 0.05 level of significance), what is the probability that he will come up with a “significant” result even if the color of the mouse does not affect its speed in running the maze?

(b) If the professor repeats the experiment with a new set of white mice, what is the probability that at least one of the experiments will yield a “significant” result even if the color of a mouse does not affect its maze- running speed?

(c) If the professor has 30 of his students independently run the same experiment, each with a different group of white mice, what is the probability that at least one of these experiments will come up “significant” even if mouse color plays no role in their maze-running speed?

## Answer to relevant Questions

An epidemiologist is trying to discover the cause of a certain kind of cancer. He studies a group of 10,000 people for five years, measuring 48 different “factors” involving eating habits, drinking habits, smoking, ...Rework Exercise 13.38, basing the decision on the P-value corresponding to the observed value of the test statistic. In exercise Sample surveys conducted in a large county in a certain year and again 20 years later showed ...Nine determinations of the specific heat of iron had a standard deviation of 0.0086. Assuming that these determinations constitute a random sample from a normal population, test the null hypothesis σ = 0.0100 against the ...With reference to Exercise 13.42, test at the 0.02 level of significance whether it is reasonable to assume that the two populations sampled have equal variances. In exercise To compare two kinds of front- end designs, six ...In a random sample of 12 undergraduate business students, 6 said that they will take advanced work in accounting. Use the 0.01 level of significance to test the null hypothesis θ = 0.20, that is, 20 percent of all ...Post your question

0