Question 8 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 17 minutes. A researcher observed 49 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 b. What is the distribution of I? I - N( 40 2.4286 c. What is the distribution of z? a- N( 1960 119 d. If one randomly selected student is timed, find the probability that this student's time will be between 37 and 39 minutes. e. For the 49 students, find the Enter an integer or decimal number, accurate to at least 4 decimal places (more.] 39 minutes. f. Find the probability that the randomly selected 49 students will have a total study time less than 1813 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 20% of the total stúdy time for groups of 49 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? minútes Submit Question
Question 8 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 17 minutes. A researcher observed 49 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 b. What is the distribution of I? I - N( 40 2.4286 c. What is the distribution of z? a- N( 1960 119 d. If one randomly selected student is timed, find the probability that this student's time will be between 37 and 39 minutes. e. For the 49 students, find the Enter an integer or decimal number, accurate to at least 4 decimal places (more.] 39 minutes. f. Find the probability that the randomly selected 49 students will have a total study time less than 1813 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 20% of the total stúdy time for groups of 49 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? minútes Submit Question
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
Related questions
Question
I only need help on D-F and H, please.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt