In the Population of Students Who Take the SAT, the Average

Essay

In the population of students who take the SAT, the average combined score is 1600. I wonder whether students in Ohio differ from the population of students who take the SAT. Suppose I select a random sample of 100 students from Ohio and find that their average SAT score was 1630 with a standard deviation of 200.
a. Write the null and alternative hypotheses for this research question.
b. Is the difference between the sample mean and the population mean is statistically significant using an alpha level of .05?
c. Then calculate the 99% confidence interval for the mean and wrap words around it.