The purity of oxygen produced by a fractional distillation process is thought to be related to the percentage of hydrocarbons in the main condensor of the processing unit. Twenty samples are shown below. Purity (%) 86.91 89.85 90.28 86.34 92.58 87.33 86.29 91.86 95.61 89.86 Hydrocarbon (%) 1.02 1.11 1.43 1.11 1.01 0.95 1.11 0.87 1.43 1.02 Purily (%) 96.73 99.42 98.66 96.07 93.65 87.31 95.00 96.85 85.20 90.56 a. Fit a simple linear regression model to the data. b. Test the hypothesis Ho: P = 0. c. Calculate R. Hydrocarbon (%) 1.46 1.55 1.55 1.55 1.40 1.15 1.01 0.99 0.95 0.98 d. Find a 95% CI on the slope. SE CES e. Find a 95% CI on the mean purity when the hydrocarbon percentage is 1.00.