Question 12 0/8 The average production cost for major movies is 69 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of T? & ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 64 and 70 million dollars. d. For the group of 8 movies, find the probability that the average production cost is between 64 and 70 million dollars. e. For part d), is the assumption of normal necessary? O YesO No Hint: Some Helpful Videos: . Finding the Sampling Distribution [ . Finding a Probability Using the Central Limit Theorem Hint Submit Question. Question 13 0/8 pts ' 100 99 0 Details The amount of syrup that people put on their pancakes is normally distributed with mean 64 mL and standard deviation 9 mL. Suppose that 7 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N b. What is the distribution of E? a ~ N c. If a single randomly selected individual is observed, find the probability that this person consumes is between 63.7 mL and 67.6 mL. d. For the group of 7 pancake eaters, find the probability that the average amount of syrup is between 63.7 mL and 67.6 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: . Finding the Sampling Distribution . Finding a Probability Using the Central Limit Theorem [7 . Finding a Sample Mean Given its Percentile [ Hint Submit Question here to search O 60'F Clear ~ 0 0 6 4) 9:53 PM 7/7/2022. Question 14 0/7 pts O 100 99 0 Details The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X ~ N( b. What is the distribution of ? I ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: . Finding the Sampling Distribution [ . Finding a Probability Using the Central Limit Theorem . Finding a Sample Mean Given its Percentile Hint Submit