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 (44.51 KiB) Viewed 25 times

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 47 minutes and standard deviation 19 minutes. A researcher observed 41 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-NO b. What is the distribution of ? - N c. What is the distribution of ΣΣ x- N d. If one randomly selected student is timed, find the probability that this student's time will be between 46 and 49 minutes. e. For the 41 students, find the probability that their average time studying is between 46 and 49 minutes. f. Find the probability that the randomly selected 41 students will have a total study time less than 2050 minutes. g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 20% of the total study time for groups of 41 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