1. The SAT scores for all students that took the SAT is normally distributed with mean 1060 with a standard deviation of 195. A school in Southern California wants to know if the mean score for their students who took the SAT differs for the national average. The average SAT score for the school was 1100 for 100 randomly selected students that took the test.
2. Define the null and alternative hypotheses.
3. Under the null hypothesis, what is the probability that we found this sample mean or more extreme (in both directions)? (Hint: think about sampling distributions)
4. In part B, you actually calculated a p-value for this test. Please state whether or not this p-value is significant. How significant is the p-value? What can we conclude?
5. A 95% confidence z-interval for the mean weight of pigeons is (1.7lbs,2.3lbs.). What is the margin of error if the sample mean was 2.0lbs? What is the interpretation of this confidence interval?