Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 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 Σx? Σx - N I-

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 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 Σx? Σx - N I-

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 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 ? I ~ N( c. What is the distribution of Σx? Σx ~ N( I d. If one randomly selected student is timed, find the probability that this student's time will be between 40 and 44 minutes. e. For the 11 students, find the probability that their average time studying is between 40 and 44 minutes. f. Find the probability that the randomly selected 11 students will have a total study time more than 583 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 11 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
Transcribed Image Text:Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 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 ? I ~ N( c. What is the distribution of Σx? Σx ~ N( I d. If one randomly selected student is timed, find the probability that this student's time will be between 40 and 44 minutes. e. For the 11 students, find the probability that their average time studying is between 40 and 44 minutes. f. Find the probability that the randomly selected 11 students will have a total study time more than 583 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 11 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
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS