# Statistics

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Question description

Part I
A student is interested in whether students who study with music playing
devote as much attention to their studies as do students who study
under quiet conditions (he believes that studying under quiet conditions
leads to better attention). He randomly assigns participants to either
the music or no-music condition and has them read and study the same
passage of information for the same amount of time. Subjects are given
the same 10-item test on the material. Their scores appear here. Scores
on the test represent interval-ratio data and are normally distributed.

Music NO music

6 10
5 9
6 7
5 7
6 6
6 6
7 8
8 6
5 9

QUESTIONS ARE:
a. What statistical test should be used to analyze these date?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis
d. Should H0 be rejects? 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

Part II

The researcher in the above decides to conduct the same study using a
within-participants design to control for differences in cognitive
ability. He selects a random sample of subject and has them study
different material of equal difficulty in both 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-ratio 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) Indentiry 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.

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