I. On Canvas, you will find the dataset pain. cav (in the folder Datasets). This dataset has the following columns: Column 1: HairColor: The hair color of the subject Column 2: Score: The pain tolerance of the subject Each person in the experiment was given a pain thresh- old score based on his or her performance in a pain sensi- tivity test (the higher the score, the higher the person's pain tolerance). (a) Find the overall mean of pain tolerance, regardless of hair color. b) Find the overall standard deviation of pain toler- ance, regardless of hair color. (c) Find the mean pain tolerance for the category Dark- Brunette. Hint: Use R to find the mean for each group. (d) Find the standard deviation of pain tolerance for the category LightBrunette. Hint: Use R to find the standard deviation for each group. (e) Find the number of subjects that were in the cate- gory LightBlond. Hint: Use R to find the number of subjects for each group. (f) Which hair color category had the highest average pain tolerance? (g) Which hair color category had the lowest standard deviation of pain tolerance? (h) Which hair color category had the most subjects?