15. Quiz: More Hypothesis Testing Practice

More Hypothesis Testing Practice

Using the following questions, you will build your intuition for common hypothesis test techniques, and what you are really testing when setting up your hypotheses.

When conducting hypothesis tests, we write our tests to understand
SOLUTION: population parameters

Which of the below represents how you would set up a hypothesis test to test if the average return of portfolio 1 \mu_1is greater than the average return of portfolio 2 \mu_2?

a. H_0: \mu_1 > \mu_2 H_1: \mu_1 \leq \mu_2


b. H_0: \mu_1 = \mu_2 H_1: \mu_1 \leq \mu_2


c. H_0: \mu_1 \leq \mu_2 H_1: \mu_1 > \mu_2


d. H_0: \mu_1 = \mu_2 H_1: \mu_1 \neq \mu_2


e. None of the above

Using the above, which is the appropriate set up for the null and alternative hypotheses?
SOLUTION: c

Which of the below represents how you would set up a hypothesis test to test if the average length of Chinook fish \mu_1 is different than the average length of Coho fish \mu_2?

a. H_0: \mu_1 > \mu_2 H_1: \mu_1 \leq \mu_2


b. H_0: \mu_1 = \mu_2 H_1: \mu_1 \leq \mu_2


c. H_0: \mu_1 \leq \mu_2 H_1: \mu_1 > \mu_2


d. H_0: \mu_1 = \mu_2 H_1: \mu_1 \neq \mu_2


e. None of the above

Using the above, which is the appropriate set up for the null and alternative hypotheses?
SOLUTION: d

Given what you know about hypothesis testing and the notation used so far in the statistics content, which of the below values would not be tested in a hypothesis?

a. \pi_1 - \pi_2


b. \mu_1


c. \pi_1 + \pi_2/\pi_3


d. \bar{x}_1


e. \sigma_1/\sigma_2

Using the above, identify which letter is attached to an item that would not be appropriate to perform a hypothesis test on:
SOLUTION: d

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