James is studying newly discovered bacteria in a petri dish. At time LaTeX: t=0t = 0 there is 52 bacteria found in the dish. This bacteria is growing at a 14% rate every hour. A. Write the function LaTeX: f(t)f ( t ) that represents the amount of bacteria found each hour.

B. Explain what LaTeX: tt represents.

C. Explain what LaTeX: f(t)f ( t ) represents.

D. If it continues at this rate, how much bacteria will be in the dish after 12 hours.

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