Need help with a central limit theorem question. Any additional help with using a ti-84 calculator is helpful. Round to 4 decimal places please. Thanks!

i Home > Stat 244 002 F21 > Assessment Chapter 7: Central Limit Theorem (Sums) -Progresssaved[ Score: 0.91/5 1/5 answered 0 Question 2 . :H (-[> ] Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 0.7 computers. 6 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N([:],:]) b. What is the distribution of :E? a": - N([:],[:]) c. What is the distribution of 2 m? E a: - N(:].[:]) P If one randomly selected worker is observed, find the probability that this worker will put together d. between 3.9 and 4.3 computers per hour. [:] e. For the 6 Workers, find the probability that their average number of computers put together per hour is between 3.9 and 4.3. S f. Find the probability that a 6 person shift will put together between 23.4 and 25.8 computers per hour. :3 For part e) and f), is the assumption of normal necessary? 0 YesO No A sticker that says "Great Dedication\" will be given to the groups of 6 Workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? Somputers per hour (round to the nearest computer) 2700 j Hint: Some Helpful Videos: 130