1. Car Company A advertises that their cars are more environmentally friendly than Car Company B, citing as proof the fact that the gas mileage for Car Company A's economy car model38.5 miles per gallon (MPG)is signicantly higher the industry average, which is 26.1 MPG. A) Does this comparison indicate that Company A's cars get better gas mileage than Company B's? B) What information should be compared to appropriately test this claim? C) If you tested a random sample of 1 car from each of the 10 car models for each company (1'11 = 10, r12 = 10), what would be the appropriate analysis to conduct to address this claim? D) If you wanted to be 95% sure that the result was not due to random chance in either direction, what would your critical value for your statistic be? 2. Fast-food Restaurant X claims that their hamburgers are "heart healthy" because they contain significantly fewer calories than the industry average of 490 calories. Restaurant X's five types of hamburgers have the following calorie counts: 310, 465, 788, 594, 433 A) Does this data support Restaurant X's claim that their hamburgers have significantly fewer calories than the industry overall? Why or why not? 3. Restaurant Y claims that it is actually their hamburgers that are "heart healthy" because they contain significantly fewer calories than Restaurant X's hamburgers. Restaurant Y's hamburgers have the following calorie counts: 612, 476, 389, 240, 593 A) Conduct the appropriate statistical test to determine whether Restaurant Y's hamburgers actually have significantly fewer calories than Restaurant X's hamburgers.B) Assuming you want to be 90% sure that the result was not due to chance, but only in the predicted direction (i.e., that Restaurant Y's hamburgers will have fewer calories than Restaurant X's hamburgers), what would the critical value for the test statistic be? C) Given these results, would you conclude that Restaurant Y's hamburgers have signicantly fewer calories than Restaurant X's hamburgers? D) Does this result demonstrate that Restaurant Y's hamburgers are indeed \"heart healthy\" (i.e., relative to hamburgers in general)? Why or why not