Can you help me with two questions?

1. As you drink a lot of coffee everyday, you have been looking into purchasing a coffee machine. But you are a bargain shopper who wants to make sure you are paying less than the median price when you buy something. You visit a website to see Ebay's price history for coffee machine, and take a sample of prices from over the last few months (in $): 60, 82, 102, 95, 101, 87, 99, 85, 93, 88 The current price for the coee machine is $75. Considering the above sample of prices as a simple random sample from the population of possible prices, run a sign test for whether the current price is below the population median coffee machine price. Perform the test for the hypothesis below and draw a conclusion in the context of the problem. HD:M=75 HA2M>75 2. In a particular college math class, students begin the semester taking a pre-test (Pre)- At the end of the semester, students receive a nal class percentage (Final). Both scores are recorded as percentages out of 100. It was desired to know if performance on the pre-test was predictive of nal class percentage. There were 9 students in the class. The results are below: Student ._n 68 59 72 75 55 52 81 63 70 (DOG-JGUIIIBWM For all of the parts below, please perform the calculations by hand, and show your work. (a) Based on the plot below, does it seem like a straight line model is reasonable? Is there a strong linear association between Pretest score and nal? Is it a positive association or negative? (b) Assuming a straight-line model, compute estimates of the intercept (g) and slope ([31). Interpret both estimates. (c) If a student scores 80 on the pretest, what does the model predict their nal score will be