1. In a study published in Acoustical Science & Technology , subjects performed a memorization task under two conditions: 1) with irrelevant background speech and 2) in silence. The difference in the errors rates for the two conditions was computed for each subject. Sample descriptive statistics for this variable were as follows: mean = 78.19; standard deviation = 63.24; number of observations = 71. The researcher wanted to test if the average difference in error rates for all members of the relevant population exceeds 75.00.

a. What are the null and alternative hypotheses?

b. Compute the p-value.

c. Would the researcher reject the null hypothesis if = .10?

d. Would the researcher reject the null hypothesis if = .50