A technician in a quick oil change shop had the following service times (in minutes) for 20randomly selected cars:Sample1 2 3 43.4 3.5 3.4 3.63.1 3.4 3.5 3.53.1 3.3 3.3 3.73.2 3.6 3.3 3.43.2 3.2 3.5 3.8a) Determine the mean of each sample.b) Estimate the mean of the process.c) Calculate the standard deviation of the sample means (assuming that the estimate ofthe std. deviation of the process is 0.192).d) What are the Three Sigma control limits for the sample mean?e) Using the control limits of 3.14 and 3.86, are any sample means beyond these controllimits? If so, which one(s). Can you please answer all of the above questions with proper formulas and method