TSuppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 45 minutes and standard deviation 20 minutes. Aresearcher observed 17 studentswho entered the library to study. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N 45b. What is the distribution of ? I - N 454.8507c. What is the distribution of r? I- N( 76582.4621d. If one randomly selected student is timed, find the probability that this student's time will bebetween 47 and 50 minutes.e. For the 17 students, find the probability that their average time studying is between 47 and 50minutes.f. Find the probability that the randomly selected 17 students will have a total study time less than 884minutes.g. For part e) and f), is the assumption of normal necessary? O NoO Yesh. The top 10% of the total study time for groups of 17 students will be given a sticker that says "Greatdedication". What is the least total time that a group can study and still receive a sticker?minutesHìnt:Some Helpful Videos:desmos-graph.pngB.dy91BJ%233.244.8.6.7.8.6.F.H.K.

GivenMean(μ)=45standard deviation(σ)=20sample size(n)=17

Answered: Suppose that the amount of time that…

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 88 mph. d. 86% of all cars travel at least how fast on the freeway? mph. Submit Question
The average amount of money spent for lunch per person in the college cafeteria is $6.96 and the standard deviation is $2.49. Suppose that 7 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? ī - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8484 and $6.599. d. For the group of 7 patrons, find the probability that the average lunch cost is between $5.8484 and $6.599. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 minutes and a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that a randomly selected person at the hot springs stays longer then 68 minutes. C. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

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