We solicit two groups of professors at our school. One group agrees to check their email once per day; the other group can check it as often as they wish. After two weeks, we give everyone a standard test of productivity to determine who has the higher (more productive) scores. The productivity scores from two independent samples are: Group who checks it once a day: sample mean of 43, standard deviation of 4.77, and sample size of 15. Group who check often: sample mean of 39, standard deviation of 4.96, and sample size of 15. Show the eight steps for hypothesis testing. Is there a significant difference between groups? Conclude this with a summary paragraph.