1. If you changed a hypotheses test (but with the same null value) from being one-tailed test to a two-tailed test, would the p-value go up, go down, or not change? Briefly explain

2. Consumer energy states that the average electric bill across the state of Michigan is $30.20. You want to test the claim that the average bill amount is different from $30.20. The hypotheses for this situation are as follows: Null Hypothesis:  and Alternative Hypothesis: You complete a randomized survey throughout the state and perform a one sample hypothesis test for the mean and obtain a p-value of 0.8589. What is the appropriate conclusion at a 5% significance level?

A. The true average electric bill is significantly different from $30.20

B. We did not find enough evidence to say a significant difference exists between the true average electric bill and $30.20

C. We did not find enough evidence to say the true average electric bill is less than $30.20

D. The true average electric bill is equal to $30.20

E. We did not find enough evidence to say the true average electric bill is greater than $30.20

3. One advantage that the T-test has over the F-test in testing hypothesis of the difference between two means is that it can be used to perform a one tailed test.

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