Specify any rule/property/formulae that help you solve/answer these problems. Please show ALL of your work and show each and every step please, thanks!

A test of a hypothesis about the SAT Math scores of California high school students is being conducted based on an SRS of 500 students. The hypotheses being tested are: Hozp=485 vs. Hazu>485 Assume that the population stande deviation is or = 100. The test rejects H0 at the 1% level of signicance when zcalc 2 2-33, where _ X 485 z = \"a\" 100N500 How sensitive is this test to detect an increase of 14 points in the population mean SAT Math score? Answer this question by calculating the power of the test to detect the alternative ,u, = 499