3. A researcher is interested in whether listening to music helps or hinders tes

Question

3. A researcher is interested in whether listening to music helps or hinders test-performance. To control for differences in cognitive level, this researcher decides to use a within-participants design. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. Participants take a 20-item quiz on the material. The table below shows the scores on the quiz. The study is completely counterbalanced to control for order effects. The scores obtained are measured on an interval-ratio scale and are normally distributed.
Music No Music
17 17
16 18
15 17
16 17
18 19
18 18

a. What statistical test should be used to analyze the data?

b. Is this a one- or two tailed test?

c. Identify H0 and Ha for this study.

d. Conduct the appropriate analysis. Should H0 be rejected? What should the researcher conclude?

e. Calculate the 95 confidence interval.

Explanation / Answer

a two sample t test. ho: U1-U2=0 ha: U1-U2 doesn't = 0 where U1 = Score on test with music, U2= score on test without music. sd: 1.211, 0.8165 I get a difference of 1 on average. So x +/- SE (which is sqrt(s^2/n+s^2/n) * t* (2.015 for df of 5)=(-1-0)+sqrt(0.8165^2/6+1.211^2/6)*2.015 (-1-0)-sqrt(0.8165^2/6+1.211^2/6)*2.015=-2.2 so (-2.2, 0.201) is your interval. 0 is in there so we don't reject.

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