2. A researcher wants to investigate whether women are better at multi- tasking than men ...

     2. A researcher wants to investigate whether women are better at   multi- tasking than men. She conducts an experiment where each participant is   given a newspaper article to read while dialogue is played into the room. The   participant is then given a test afterwards on the contents of the article   and dialogue. The score on the test determines multi-tasking skills (higher   score implies better at multi-tasking). The results of the study for 21 male   participants and 16 female participants are as follows       x s n    Males 50.2   9.8  21   Females 60.5   5.2 16       . (a) Is   there evidence in the data to suggest that the mean multi- tasking score for   females is at least 5 points greater than that for 
males? (Take α = 0.05)       . (b)   Construct a 90% confidence interval for the mean difference in multi-tasking   scores and interpret it.