1. Jenny reads that her model of car should be able to travel (on average) 650 km on one tank of gasoline. She decides to test this by recording her distance traveled each time she refills the tank. After some time, she has 10 observations. The sample mean of her observations is 637 km with a sample standard deviation of 25 km. If ,u is the mean distance that her car travels on one tank of gasoline, then she is testing H0: 1.: = 650 versus HA: ,u at 650. Find the P-value of the test. [4 points] p-Value = 0.1345 2. (continued from #1) If the test is done at 1% level, then what is the conclusion of the test in plain English? There is not enough evidence to conclude that mean distance is different than 650 Also, describe what a Type II Error would be in plain English. [4 points] Here it means that we have concluded that mean distance is not different than 650 but in actual the mean is different than 650 3. (continued from #1) If the mean distance that Jenny's car travels on one tank of gasoline is actually 600 km, then what is the probability of Type II Error? The level of the test is still 1%. [4 points]