l 10% cricket 6:39 PM Chapter 7: Central Limit The ... X 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 23 minutes. A researcher observed 44 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(43 23 b. What is the distribution of ? x N(43 3.4673 (A C. What is the distribution of > x? Σε- ΝΕ NC d. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 47 minutes. 0860 e. For the 44 students, find the probability that their studying is between 42 and 47 minutes. time average f. Find the probability that the randomly selected 44 students will have a total study time less than 1716 minutes. g. For part e) and f), is the assumption of normal necessary? h. The top 20% of the total study time for groups of 44 students will be given a sticker that says "Great dedication" No Yes TATLati, the lisst +atol +ima th at a l 10% cricket 6:39 PM X Chapter 7: Central Limit The... who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(43 b. What is the distribution of ? ^ N(43 23 3.4673 c. What is the distribution of : Σ N( d. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 47 minutes. 0860 e. For the 44 students, find the probability that their average time studying is between 42 and 47 minutes. f. Find the probability that the randomly selected 44 students will have a total study time less than 1716 minutes. For part e) and f), is the assumption of g. normal necessary? h. The top 20% of the total study time for groups of 44 students will be given a sticker that says "Great dedication". What is the least total time that a Yes No group can study and still receive a sticker? |*minutes

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