1) Suppose a car dealer tells you that specific cars get 35 miles per gallon on average. You would be able to use hypothesis tests to test whether this value might be correct.

1A) Why would you use a hypothesis test instead of a confidence interval in this situation?

-I would use a hypothesis test because I am trying to see if the MPG are more or less than 35 MPGon average. If I was trying to see the limits of the MPG than I would use a confidence interval to do that. Since I am just trying to see if theMPG is more or less and not the limits of the MPG that is why the hypothesis test is used here

2) A car dealer states that a new brand of car gets 35 miles per gallon on average. Suppose a consumer group claims that these cars get less than 35 miles per gallon. Set up the null and alternative hypotheses for this example.

-Null: u = 35 and Alt hypotheses: u = <35

3) The average daily rainfall in a jungle in South America was four inches back in 2000. Suppose a scientist thinks the average rainfall is different now. Set up the null and alternative hypotheses for this example.

-Null: u = 4 and Alt hypothesis: is u is not = 4