So i was listening to dear theodosia from Hamilton and the lyrics My father wasn't around My father wasn't around I swear that I'll be around for you I'll do whatever it takes I'll make a million mistakes and i was like ha alexander Hamilton's dad was never around and then i remembered i was adopted twice and then the people that adopted me got a divorces

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95