Question 1: (40 pts. ) The fuel consumption (in miles per gallon)- of all cars of a particular model has population mean of 40 mpg and population standard deviation of 10 mpg. The population distribution can be assumed to be normal. a. Find the probability that a car, chosen at random, will have a fuel consumption of more than 44 mpg. b. Find the probability that a car, chosen at random, will have a fuel consumption of less than 32 mpg. c. Find the probability that a car, chosen at random, will have a fuel consumption between 32 mpg and 44 mpg. d. Find the standard error for a sample of 25 cars. e. With a sample of 25 cars, find the probability that a car, chosen at random, will have a fuel consumption of more than 44 mpg. Question 2: (40 pts. ) Is it significant? The one-sample t- statistic for testing from a sample of n = 18 observations has the value t = 1.80 HO : H = 0 Ha : H > 0 a. What is the degree of freedom for this statistic