10:55 AM Fri Dec 9 . . 2 1 mylearning.suny.edu a 4 of 4 6. A confidence interval for the proportion of adults who currently have Instagram accounts is (0.512, 0.554). Rewrite this confidence interval in the form p + E. Bonus (2 pts): The central limit theorem has been applied and a z-score value of z = 2.00 was found for x = 120. If My = 100, and the sample size is n = 100, find the standard deviation of the original population (i.e., find o).10:54 AM Fri Dec9 to. ?100% -r mylearning.suny.edu E 1. Bone densities are normally distributed with mean 0 and standard deviation 1. a) One person is randomly selected. Find the probability their bone density is less than 1.74. b) One person is randomly selected. Find the probability their bone density is greater than 1.3. c) One person is randomly selected. Find the probability their bone density is between 3.29 and 1.25. d) Find the bone density that separates the lowest 93% from the highest 7%. 2. Disney World requires that people employed as a Mickey Mouse character must have a height between 56 inches and 62 inches. Assume men have a height mean of 68.6 inches and a standard deviation of 2.8 inches. 3) One person is randomly selected from a population of men. Find the probability that person has a height of more than 58in. 10:55 AM Fri Dec 9 . . 2 1 mylearning.suny.edu a 3 of 4 4. IQ scores are normally distributed with mean 100 and standard deviation 15. 25 people are randomly selected. Find the probability their mean IQ is less than 103. 5. In a study of the accuracy of fast food drive through orders, Mcdonald's had 33 orders that were not accurate among 362 orders observed. Construct a 95% confidence interval for the proportion of orders that are not accurate and write a conclusion.10:54 AM Fri Dec9 one ?100% -r mylearning.suny.edu E 2. Disney World requires that people employed as a Mickey Mouse character must have a height between 56 inches and 62 inches. Assume men have a height mean of 68.6 inches and a standard deviation of 2.8 inches. 3) One person is randomly selected from a population of men. Find the probability that person has a height of more than 58in. b) One person is randomly selected from a population of men. Find the probability that person has a height less than 67 inches. c) What percentage of men have a height between 65.5 inches and 70.2 inches? d) What height would make a man taller than 75% of all other men