3. The following data are the joint temperatures of the O-rings (°F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1, pp. 129–131): 84, 44, 41, 53, 57, 61, 65, 52, 58, 57, 50, 62, 60, 68, 62, 69, 68, 68, 71, 70, 72, 68, 73, 71, 70, 74, 75, 73, 79, 81, 76, 77, 77, 83, 31, 83. Compute the sample mean, sample standard deviation, and sample median using the formula introduced in the lecture. Hint: you can use Excel function to verify the results but must apply the formula in lecture to solve the problem. 4. Use the same sample data in previous problem, i.e., the joint temperatures of the O-rings (°F) for each test firing or actual launch of the space shuttle rocket motor. (a) Find the three quartiles of the joint temperature, i.e., the median, lower and upper quartiles. Hint: you can use Excel function to verify the results but must apply the formula in lecture to solve the problem. (b) Construct a box plot the same data and comment on the possible presence of outliers. Hint: you can either create the box plot by hand or in Excel and insert it as picture before converting to PDF.