Problem 3:Hypothesis testing involves the careful construction of two statements: the null hypothesis and the alternative hypothesis. These hypotheses can look very similar when written down, but actually occupy positions in our hypothesis test that are not on the same footing.The Null Hypothesis:The null hypothesis reflects that there will be no observed effect for our experiment. In a mathematical formulation of the null hypothesis there will typically be an equal sign. This hypothesis is denoted by H0.The Alternative HypothesisThe alternative or experimental hypothesis reflects that there will be an observed effect for our experiment. In a mathematical formulation of the alternative hypothesis there will typically be an inequality, or not equal to symbol. This hypothesis is denoted by either Ha or by H1.Negation:The following set of negations may help when you are forming your null and alternative hypotheses. Null hypothesis: x is equal to y. Alternative hypothesis x is not equal to y. Null hypothesis: x is at least y. Alternative hypothesis x is less than y. Null hypothesis: x is at most y. Alternative hypothesis x is greater than y.

Factors LevelsTire pressure28 psi, 35 psiSpeed55 mph, 65 mph

The Null and alternate hypothesis for the above factors can be derived are:Null Hypotheses: Tire pressure and vehicle speed would not effect the gas mileage. (for 28PSI and 55mph)Alternate Hypotheses: Tire pressure and vehicle speed affect the gas mileage. (35PSI and 65MPH)