Refer to the Journal of Experimental Psychology-Applied (June 2000) name-retrieval study, presented in Exercise. The data for the study are saved in the NAMEGAME2 file.

a. Find a 99% confidence interval for the mean recall proportion for students in the fifth position during the "name game." Interpret the result.

b. Find a 99% prediction interval for the recall proportion of a particular student in the fifth position during the "name game." Interpret the result.

c. Compare the intervals you found in parts a and b. Which interval is wider? Will this always be the case? Explain.