A concrete learner is a student who learns best when various types of hands-on manipulative activities are used to illustrate abstract concepts. Researchers have long believed that 60% of all students remain concrete learners until they are between 16 and 21 years of age. Each student in a random sample of 32 students age 17 to 19 was evaluated, and it was found that 24 of the 32 were concrete learners. Would it be appropriate to use the z-test for a population proportion to test to determine if the proportion of concrete learners in this age group is less than 0.60

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)?