11.62 Are girls less inclined to enroll in science courses than boys? One study (“Intentions of Young Students to Enroll in Science Courses in the Future: An Examination of Gender Differences,” Science Education [1999]:

55–76) asked randomly selected fourth-, fifth-, and sixth-graders how many science courses they intend to take. The following data were obtained:

n Mean Standard Deviation Males 203 3.42 1.49 Females 224 2.42 1.35

a. Calculate a 99% confidence interval for the difference between males and females in mean number of science courses planned. Interpret your interval.

b. Based on your interval, how would you answer the question posed at the beginning of the exercise?