The american antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet, particularly at running long distances. the maximum recorded speed for the antelope is 88.5\, \text{km/h}88.5km/h88, point, 5, start text, k, m, slash, h, end text, which it can sustain for nearly one kilometer.
on the other hand, the distance, ddd, in kilometers that the wildebeest can run in ttt hours is given by the equation d=80.5td=80.5td, equals, 80, point, 5, t.
assuming both animals are running at constant speeds, which animal can run faster?

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