(4) The researcher in exercise
2 decides to conduct the same study using a within-participants design to
control for differences in cognitive ability.
He selects a random sample of subjects and has them study different
material of equal difficulty in both the music and no-music conditions. The study is completely counterbalanced to
control for order effects. The data
appear next. As before, they are
measured on an interval-ration scale and are normally distributed; he believes
that studying under quiet conditions will lead to better performance.
Music No Music
7 7
6 8
5 7
6 7
8 9
8 8
a. What statistical test should
be used to analyze these data?
b. Identify H0 and Ha for this
study.
c. Conduct the appropriate
analysis.
d. Should H0 be rejected? What
should the researcher conclude?
e. If significant, compute and
interpret the effect size.
f. If significant, draw a graph
representing the data.
g. Determine the 95% confidence
interval.
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