Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with

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Suppose That The Amount Of Time That Students Spend Studying In The Library In One Sitting Is Normally Distributed With 1 (49.23 KiB) Viewed 66 times

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 41 minutes and standard deviation 19 minutes. A researcher observed 45 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( b. What is the distribution of ? - N( c. What is the distribution of a? - N x- d. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 46 minutes. e. For the 45 students, find the probability that their average time studying is between 42 and 46 minutes. f. Find the probability that the randomly selected 45 students will have a total study time more than 1980 Minutes. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 15% of the total study time for groups of 45 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? minutes