it about Normal distributions.

1. Brightly blarney but blissfully blase bloodhound Sheerluck Hopeless has trained herself to estimate distrances both by sight and by pacing them off. From experience she has found that her estimation errors tend to follow Normal distributions. Hopeless tests her estimation abilities on nine holes of a golf course: her estimation errors, in m, are given in the table below: HOPELESS ESTIMATION ERRORS PACING (m) 1 -2 -4 -1 -1 -1 2 -2 -1 SIGHT (m) 5 -3 9 -2 7 -15 2 -5 6 "My compliments, Hopeless!" Dr. Witless puzzled, "To find the probability a thing does NOT happen, how did you describe it?" "Complementary, my dear Witless, " Hopeless rubbed her eyes, bowed her head, and exhaled an uncomplimentary sigh, "Complementary!" a. How should you interpret if Hopeless' estimation error is negative? (5) b. Find a 95% confidence interval for the mean difference between Sheerluck's errors (10) in estimating distances by pacing or sight. c. Test that there Is a difference between Sheerluck's mean estimation errors by (25) pacing and sights against the hypothesis of No difference. d. BONUS: Compare Sheerluck's estimation errors by pacing against sight: i. Draw a simple plot of sight errors (y) against pacing errors (I). (5) ii. Find the correlation coefficient between Sheerluck's two types of errors. (5) iii. Find the regression line for sight errors as a function of pacing errors. 5 iv. Use the coefficient of variation to interpret how well this linear model explains (5 the relationship between Sheerluck's pacing and sight estimation errors