For a random sample of 263 professionals, the correlation between their age and their income was found to be 0.17. you are interested in testing the null hypothesis that there is no linear relationship between these two variables against the alternative that there is a positive relationship. what is the most accurate statement that can be made about the p-value for this test?

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)?