The same hypothesis is tested often enough

Reference no: EM131137654

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?

Reference no: EM131137654

Questions Cloud

What is the mpc and mps : What is the MPC and MPS?- How much would government spending have to rise to move economy to full employment.

Tar content of a certain kind of cigarette : With reference to Exercise 30, use suitable statistical software to find the P-value that corresponds to the observed value of the test statistic. Use this P-value to rework the exercise.

Estimate the surface stress to cause the soil at a depth : Calculate the excess pore water pressure at depths of 2, 5, 10, and 20 m if the vertical stress were to be applied instantaneously.

What are the benefits and costs of us antidumping laws : The late Milton Friedman often wrote that instead of imposing countervailing duties on subsidized foreign goods, the United States should write a note of thanks to foreign taxpayers. Do you agree?

The same hypothesis is tested often enough : 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..

Discover the cause of a certain kind of cancer : 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, exercise, and so on.

Is the reported peak deviatoric stress reasonable : A one-dimensional consolidation test gave the following results: Cc = 0.32, Cr = 0.06, and OCR = 6. In the field, the groundwater level is at the ground surface.

Use blacks model to determine the price : Consider an eight-month European put option on a Treasury bond that currently has 14.25 years to maturity.- Use Black's model to determine the price of the option.

Determine whether the average nicotine content : With reference to Example 4, for what values of 1 - 2 would the null hypothesis have been rejected ? Also find the probabilities of type II errors with the given criterion if

User Account

All Pages