The function P(t) = S(1.0134)' represents the population (in millions) of a country t years after January 1, 2000. Write an equivalent function using base e; that is, write a function of the P(t) = P0e^rt. Round r to 5 decimal places. Also, determine the population for the year 2000. e Select one: O a. P(t) = 8e0.013311; population in 2000: 8.1 million O b. P(t) = 8e0.013311; population in 2000: 8 million Oc. P(t) = 2.1e0.106491; population in 2000: 2.1 million O d. P(t) = 2.100.106491; population in 2000: 2.3 million

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