Need help with a central limit theorem question. Any additional help with how to calculate with ti-84 calculator would be appreciated. Round to 4 decimal places, please. Thanks!

Forums Home > Slat 244 002 F21 > Assessment Score: 0.91/5 1/5 answered ' .Question3 ' t I > Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 43 minutes and standard deviation 20 minutes. A researcher observed 11 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N(:],:]) u b. What is the distribution of 5:? a': N([:,[:) c. What is the distribution of Z 2:? 2:: - N([:,[:i if one randomly selected student is timed, find the probability that this student's time will be between d. 34 and 42 minutes. E e. For the 11 students, find the probability that their average time studying is between 34 and 42 minutes. E f. Find the probability that the randomly selected 11 students will have a total study time less than 418 minutes. g. For part e) and f), is the assumption of normal necessary? 0 YesO No h. The top 15% of the total study time for groups of 11 students will be given a sticker that says \"Great dedication\". What is the least total time that a group can study and still receive a sticker? Hint: Chapter 7: central Limit Theorem (sumS) Progress saved[ 80