5} A used car dealership cmrently has 4 cars on their lot. Each car undergoes a safety test and the results of that test range from 0% (completely unsafe) to 100% (completely safe). Suppose the safety scores for the cars are: PPF'?' Car 2 3 4 T 3115111- I . . r T lssmn Manual Automatle Automatic Manual ype 1|J''hat is the mean safety score for the used cars on the let? 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 In)? IS} For Question 5, suppose that the manager of the dealership wants to know the results of the safety scores for the used cars by the type ofh'ansmission. a. b. as How many random samples of size 2, including one ear of each transmission type, are possible? List all the possible random samples from part (a). Which of the samples 'om Question 5 part (c) cannot occur with this design? For each sample listed in part {b}, find the sample mean. What is the variance of the sample mean for this sampling design {i.e., the design explained in part a)? Which sampling design is better? Why