Refer to the British Journal of Music Education (Mar. 2014) study of performance anxiety by music students, Exercise 8.60 (p. 397). Recall that the Performance Anxiety Inventory (PAI) was used to measure music performance anxiety on a scale from 20 to 80 points. The table below gives PAI values for participants in eight different studies. In Exercise 8.60, you used the small-sample t-statistic to test whether the mean PAI value for all similar studies of music performance anxiety exceeds 40. However, the population of PAI values is unlikely to be normally distributed; consequently, inferences derived from the t-test may not be valid. Now consider a nonparametric test of the data.

a. Set up the null and alternative hypotheses for determining whether the population median PAI value, h, exceeds 40.
b. Find the rejection region for the test, part a, using a = .05.
c. Compute the test statistic.
d. State the appropriate conclusion for the test.
e. Find the p-value for the nonparametric test and use it to make a conclusion. (Your conclusion should agree with your answer in part d.)
f. How would your conclusion change if you used a = .10?

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