5} A used car dealership currently has 4 cars on their lot. Each ear undergoes a safety test and the results of that test range 'om 0% (completely unsafe) to 100% (completely safe). Suppose the safety scores for the cars are: a. b. C. d. - Transmission Type Safety Score 53 92 35 71 Manual Automatic Automatic Manual What is the mean safety score for the used cars on the lot? How many simple random samples of size 2 are possible? List the possible simple random samples. For each one, nd the sample mean What is the variance of the sample mean for this sampling design (i.e., the design explained in part b)? 6} For Question 5, suppose that the manager of the dealership wants to lmow the results of the safety scores for the used cars by the type oftransmission. El. 1). PP How many random samples of size 2, including one car of each transmission type, are possible? List all the possible random samples from part (3.). Which of the samples 'om Question 5 part (c) cannot occur with this design? For each sample listed in part {b}, nd the sample mean. What is the variance of the sample mean for this sampling design {i.e.1 the design explained in part a)? Which sampling design is better? Why