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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
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.
Transcribed Image Text:B. Find and interpret a 90% confidence interval for u-u. Provide a conclusion pertaining to hypothesis.
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