The National Assessment of Educational Progress (NAEP) includes a mathematical test for eight-grade students. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to a simple random sample of 900 eight-graders from a large population in which the scores have mean = 285 and standard deviation = 125. The mean will vary if you take repeated samples. The sampling distribution of is approximately Normal. It has mean = 285. What is its standard deviation? 2. Student study times. A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 463 students was = 15.3 hours per week. Regard these students as a simple random sample (SRS) from the population of all undergraduate students at this university. Suppose that we know that the study time follows a Normal distribution with standard deviation = 8.5 hours in the population of all first-year students at this university. Does the study give good evidence that students claim to study more than 15 hours per week on the average? Conduct an appropriate hypothesis test, detail all the steps. Use = 0.05