3. Listening to music while taking a test may be relaxing or distracting. We test 49 participants while listening to music and they produce a M = XXXXXXXXXXThe mean of the population taking this test...

3. Listening to music while taking a test may be relaxing or distracting. We test 49 participants while listening to music and they produce a M = 54.36. The mean of the population taking this test without music is μ= 50 (σ= 12).

a. Does listening to music while taking the test lead to a significant difference in scores? Conduct a full hypothesis test using the .05 level of significance.

b. Compute the effect size with Cohen’s d

c. What is the probability that we made a type I error? What would be the error in terms of independent and dependent variables?

d. Is there a risk of a Type II error?

e. Summarize your findings in APA format