Solve A and B! You need to always show that conditions are met for any test or confidence interval and these questions are from a population that we do not know the population parameters, z tests cannot be performed. Do not use z tests on this question!!!
Solve A and B! You need to always show that conditions are met for any test or confidence interval and these questions are from a population that we do not know the population parameters, z tests cannot be performed. Do not use z tests on this question!!!
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve A and B! You need to always show that conditions are met for any test or confidence interval and these questions are from a population that we do not know the population parameters, z tests cannot be performed.
Do not use z tests on this question!!!
![1. Some people believe that math ability and musical ability have a relationship -
that is, people with musical ability also seem to do well in math. A group of
researchers decides to test this theory. The researchers randomly select 100
musically gifted individuals and also 150 individuals with no musical talent.
Each individual is given a test for math ability. The results are shown below:
Musically Gifted Not Musically Gifted
x = 90.6
x = 88.4
S = 1.8
S = 2.6
n = 100
n = 150
A. Run an appropriate test to see if the mean math-ability score for those who
are musically gifted is significantly higher than that of those who are not
musically gifted. Use a 1% level of significance.
Let u₁ = mean math-ability score for those who are musically gifted
Let u = mean math-ability score for those who are not musically gifted](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7388c274-e5b1-447c-bed1-a59a772617c0%2F5f8614d6-e6a4-4d16-9fad-75db624d1e62%2Fdffutla_processed.png&w=3840&q=75)
Transcribed Image Text:1. Some people believe that math ability and musical ability have a relationship -
that is, people with musical ability also seem to do well in math. A group of
researchers decides to test this theory. The researchers randomly select 100
musically gifted individuals and also 150 individuals with no musical talent.
Each individual is given a test for math ability. The results are shown below:
Musically Gifted Not Musically Gifted
x = 90.6
x = 88.4
S = 1.8
S = 2.6
n = 100
n = 150
A. Run an appropriate test to see if the mean math-ability score for those who
are musically gifted is significantly higher than that of those who are not
musically gifted. Use a 1% level of significance.
Let u₁ = mean math-ability score for those who are musically gifted
Let u = mean math-ability score for those who are not musically gifted
![B. Find and interpret a 90% confidence interval for u-u. Provide a
conclusion pertaining to hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7388c274-e5b1-447c-bed1-a59a772617c0%2F5f8614d6-e6a4-4d16-9fad-75db624d1e62%2Fuawirs_processed.png&w=3840&q=75)
Transcribed Image Text:B. Find and interpret a 90% confidence interval for u-u. Provide a
conclusion pertaining to hypothesis.
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