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Decide whether the following changes will increase or decrease power. a. Increas

ID: 3221105 • Letter: D

Question

Decide whether the following changes will increase or decrease power. a. Increasing n will _____ power. b. increasing sigma will _____ power. c. increasing alpha will _____ power. d. Increasing the difference between the alternative mean (mu_a) and mu_o will _____ power. In a court case for drunk driving, a person is innocent until the evidence establishes guilt beyond a reasonable doubt. The null hypothesis is that the person is innocent. Fill in the 2 times 2 table below. Which rate of error is controlled by the level of significance alpha =. 05? Which rate of error is controlled by the choice of n used in the experimental design?

Explanation / Answer

a. Using a larger sample provides more information about the population and, thus, increase power. Using a larger sample is often the most practical way to increase power.

Answer would be increase.

b.For a hypothesis test of means (1-sample Z, 1-sample t, 2-sample t, and paired t), improving your process decreases the standard deviation. When the standard deviation is smaller, the power increases and smaller differences can be detected.

Answer would be decrease.

c.Use a higher significance level (also called alpha or ).

Using a higher significance level increases the probability that you reject the null hypothesis. However, be cautious, because you do not want to reject a null hypothesis that is actually true. (Rejecting a null hypothesis that is true is called type I error.)

Answer would be increase.

Hope this will be helpful. Thanks :-)

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