Amovie theater company wants to see if there is a difference in the average price of movie tickets in tucson and atlanta. they sample 20 ticket stubs from tucson and 25 from atlanta. test the claim using a 95% confidence interval. assume the population variances are unequal and that movie ticket prices are normally distributed. give answer to exactly 3 decimal places.

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)?