In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results: person 1 2 3 4 5 before 37.2 41.7 37.4 37.2 38.8 after 31.6 37.3 33.1 33.3 37.7 is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
a) [p-value = 0.007, frh0]
b) [p-value = 0.007, rh0]
c) [p-value = 0.003, rh0]
d) [p-value = 0.002, rh0]
e) [p-value = 0.003, frh0]

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?