Homework Help is Here – Start Your Trial Now!
Math
Statistics
The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? - N c. What is the distribution of Σa? - N X-

The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? - N c. What is the distribution of Σa? - N X-

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
100%
Question 3 < > The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? - N c. What is the distribution of Σa? - N d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.7633 and 23.2633 minutes. e. For the 45 runners, find the probability that their average time is between 22.7633 and 23.2633 minutes. f. Find the probability that the randomly selected 45 person team will have a total time more than 1048.5. Hint: Some Helpful Videos: g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
Transcribed Image Text:Question 3 < > The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? - N c. What is the distribution of Σa? - N d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.7633 and 23.2633 minutes. e. For the 45 runners, find the probability that their average time is between 22.7633 and 23.2633 minutes. f. Find the probability that the randomly selected 45 person team will have a total time more than 1048.5. Hint: Some Helpful Videos: g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

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