do the following problem from the text book. please use R software and oost the code along woth answes and any graphs that you are required to make, olease read both pictures 13-10. An article in Environment International [1992, Vol. 18(4)] described an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment are shown in the following table. Orifice Diameter 0.37 0.51 0.71 1.02 1.40 1.99 Radon Released (%) 83 79 76 74 67 64 80 75 74 67 62 60 83 75 73 72 62 61 85 79 74 69 (a) Does the size of the orifice affect the mean percentage of radon released? Use α-0.05. (b) Find the P-value for the F-statistic in part (a). (c) Analyze the residuals from this experiment. (d) Find a 95% confidence interval on the mean percent of radon released when the orifice diameter is 1.40. 13-10556 For part d) instead of finding the 95% confidence interval for the 1.4 treatment. Find the 95% confidence interval for the difference between the 1.4 and 1.99 treatments. Does this confidence interval suggest that they have significantlv different treatment meanc? 13-10. An article in Environment International [1992, Vol. 18(4)] described an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment are shown in the following table. Orifice Diameter 0.37 0.51 0.71 1.02 1.40 1.99 Radon Released (%) 83 79 76 74 67 64 80 75 74 67 62 60 83 75 73 72 62 61 85 79 74 69 (a) Does the size of the orifice affect the mean percentage of radon released? Use α-0.05. (b) Find the P-value for the F-statistic in part (a). (c) Analyze the residuals from this experiment. (d) Find a 95% confidence interval on the mean percent of radon released when the orifice diameter is 1.40. 13-10556 For part d) instead of finding the 95% confidence interval for the 1.4 treatment. Find the 95% confidence interval for the difference between the 1.4 and 1.99 treatments. Does this confidence interval suggest that they have significantlv different treatment meanc?