A company that produces gas analyzer calibration devices has had an excessive number of devices fail to meet calibration recently. The company can achieve satisfactory calibration if its calibration devices have mean gas concentration for the target gas of 40 ppm with a standard deviation of no more than 0.33 ppm. Ten devices are tested, With the following figures obtained during calibration: Unit Gas Conc. (ppm) 1 2 3 40.12 40.40 40.85 4 5 41.35 39.67 6 40.42 7 8 9 10 40.46 40.33 40.22 40.03 a) Test the two-sided hypothesis ,u = 40 ppm at a significance level of a = 0.05. Assume unknown standard deviation. b) Show the condence intervals for this test. 0) Calculate the p-value for this test. (1) Next test the one-sided hypothesis that a = 0.33 ppm at a = 0.05 (Ha: a > 0.33)