During recent seasons, major league baseball has been criticized for the length of the games. a report indicated that the average game lasts 3 hours and 30 minutes. a sam-ple of 17 games revealed the following times to completion. ( note that the minutes have been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported at 2.40 hours.)can we conclude that the mean time for a game is less than 3.50 hours? use the .05 significance level.2.982.402.702.253.233.172.933 .182.802.383.753.203.272.522.584.45 2.45

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