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-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS