Mr. Fisher suspects that right-handed people have faster reaction time than left handed people. He gave an online reflex test to separate random samples of 320 right-handed people and 360 left-handed people. Here are parallel box plots and numeric summaries of the data on reaction times (in ms) for the two groups. 200 250 Summary Statistics Group Name 1: Right Handed People 2: Left Handed People 300 350 Reaction Times (ms) 400 150 mean SD min Q₁ med Q3 max 246.719 59.36 170 195 240 285 430 271.111 70.782 180 222.5 260 307.5 500 Right Handed People Left Handed People 500 a) Write a few sentences comparing the distribution of reaction time for the two types of students. b) The distributions of the reaction times for both right handed people and left handed people is approximately normal. What is the probability that the mean reaction time of 10 randomly selected right-handed people from the 320 is at-least 28ms faster than the mean reaction time of 12 randomly selected left-handed people from the 360? (You need to show all 9 steps similar to the problem 9-11 on the Review of Chapter 7)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Need help with a) and b)

Mr. Fisher suspects that right-handed people have faster reaction time than left handed people. He gave an
online reflex test to separate random samples of 320 right-handed people and 360 left-handed people.
are parallel box plots and numeric summaries of the data on reaction times (in ms) for the two groups.
Here
200
250
Summary Statistics
Group Name
1: Right Handed People
2: Left Handed People
300
350
Reaction Times (ms)
400
450
mean SD min Q₁ med Q3 max
246.719 59.36 170 195 240 285 430
271.111 70.782 180 222.5 260 307.5 500
Right Handed People
Left Handed People
500
a) Write a few sentences comparing the distribution of reaction time for the two types of students.
b) The distributions of the reaction times for both right handed people and left handed people is
approximately normal. What is the probability that the mean reaction time of 10 randomly selected
right-handed people from the 320 is at-least 28ms faster than the mean reaction time of 12 randomly
selected left-handed people from the 360? (You need to show all 9 steps similar to the problem 9-11 on
the Review of Chapter 7)
Transcribed Image Text:Mr. Fisher suspects that right-handed people have faster reaction time than left handed people. He gave an online reflex test to separate random samples of 320 right-handed people and 360 left-handed people. are parallel box plots and numeric summaries of the data on reaction times (in ms) for the two groups. Here 200 250 Summary Statistics Group Name 1: Right Handed People 2: Left Handed People 300 350 Reaction Times (ms) 400 450 mean SD min Q₁ med Q3 max 246.719 59.36 170 195 240 285 430 271.111 70.782 180 222.5 260 307.5 500 Right Handed People Left Handed People 500 a) Write a few sentences comparing the distribution of reaction time for the two types of students. b) The distributions of the reaction times for both right handed people and left handed people is approximately normal. What is the probability that the mean reaction time of 10 randomly selected right-handed people from the 320 is at-least 28ms faster than the mean reaction time of 12 randomly selected left-handed people from the 360? (You need to show all 9 steps similar to the problem 9-11 on the Review of Chapter 7)
Expert Solution
Step 1

The normal distribution is a continuous random variable that has wide applications. X has a normal distribution with mean and SD μ,σ respectively, then PDF of X is

 fx=12πexp-12x-μσ2

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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