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.
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