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. (22 points)
Let u, = mean math-ability score for those who are musically gifted
Let u = mean math-ability score for those who are not musically gifted