Perform hand calculations with the use of calculators for the following problem. Do not use Excel or MATLAB. Show your work to receive full credit. Only handwritten work is accepted. The data for fuel efficiency of a diesel engine in the lab test as follows: 40.8 48.2 55.1 53.6 61.1 57.7 49.8 56.5 a. What is the range of the true (or population) mean of the data for 80% confidence level? (10points). b. Calculate the standard normal distribution z and P(z). Identify any outliers data for 80% confidence level. (20 points) c. Identify any outliers data by Chouvenet 's criterion. (5 points) Standard Deviation from the Mean (sample): s = Range of a population mean for a given confidence level (1-u) (x-x) Chouvenet's Table P N 82 6 N = 1- 82 3 1.38 4 1.54 5 1.65 6 1.73 7 1.80 S 1.87 9 1.91 10 1.96 15 2.13 20 2.24 25 2.33