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 40 minutes and standard deviation 19 minutes. A researcher observed 13 studer who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 40 19 b. What is thę distribution of a? a N( 40 5.2697 c. What is the distribution of x? a - N( 520 247 X) o d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 19 minutes. A researcher observed 13 studer who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 40 19 b. What is thę distribution of a? a N( 40 5.2697 c. What is the distribution of x? a - N( 520 247 X) o d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45

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 40 minutes and standard deviation 19 minutes. A researcher observed 13 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( 40 く 19 b. What is the distribution of a? a N( 40 V, 5.2697 c. What is the distribution of r? x - N( 520 マ,247 x) d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45 minutes. f. Find the probability that the randomly selected 13 students will have a total study time more than 507 minutes. g. For part e) and f), is the assumption of normal necessary? O YesO No o h. The top 20% of the total study time for groups of 13 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 Hint: Some Helpful Videos: of of
Transcribed Image Text:Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 19 minutes. A researcher observed 13 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( 40 く 19 b. What is the distribution of a? a N( 40 V, 5.2697 c. What is the distribution of r? x - N( 520 マ,247 x) d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45 minutes. f. Find the probability that the randomly selected 13 students will have a total study time more than 507 minutes. g. For part e) and f), is the assumption of normal necessary? O YesO No o h. The top 20% of the total study time for groups of 13 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 Hint: Some Helpful Videos: of of
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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