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 16 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 ? T - N( c. What is the distribution of a? >x - d. If one randomly selected student is timed, find the probability that this student's time will be between 45 and 48 minutes. e. For the 16 students, find the probability that their average time studying is between 45 and 48 minutes. f. Find the probability that the randomly selected 16 students will have a total study time more than 784 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 15% of the total study time for groups of 16 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

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 16 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 ? T - N( c. What is the distribution of a? >x - d. If one randomly selected student is timed, find the probability that this student's time will be between 45 and 48 minutes. e. For the 16 students, find the probability that their average time studying is between 45 and 48 minutes. f. Find the probability that the randomly selected 16 students will have a total study time more than 784 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 15% of the total study time for groups of 16 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

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Description: Suppose that the amount of time that students spend studying in the library in one sitting isnormally distributed with mean 43 minutes and standard deviation 20 minutes. A researcherobserved 16 students who entered the library to study. Round all an

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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