Need help with all parts. Round to 4 decimal places please. Any guidance with using a ti 84 plus calculator would be appreciated too if known. Thanks for your help!

Home > Stat 244 002 F21 > Assessment Chapter 7: Central Limit Theorem (Mean) - progresssaved Don Score: 0.4/7 1/7 answered 0 Question 2 v The average amount of money spent for lunch per person in the college cafeteria is $5.59 and the standard deviation is $2.7. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(:].D) b. What is the distribution of 5:? i ~ N(:],E) ,' c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between 55.7455 and 56.0704. C] ' i d. For the group of 48 patrons, find the probability that the average lunch cost is between 55.7455 and e. For part d), is the assumption that the distribution is normal necessary? 0 YesO No