Dr. ilvento uses a smart phone app to track the distance he walks. while taking the same walk each time, he noticed the distance stated in the app varied a lot. so he began to record the distance in an experiment. he also recorded the distance in a car and found it to be consistently 2.4 miles. the data and some summary information are given below. assume this comes from a normal distribution. this is a small sample mean problem.

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)?