Researchers conducted carbon dating on a set of remains to determine if the remains belonged to Caravaggio. The following formula can be used to estimate the age of an artifact using
carbon-14 dating
t = -[In(Nf = No). thalt] = 0.693
In = natural log
t = age of the artifact (in years)
thalf = half-life of carbon-14 = 5,700 years
Nf = amount of carbon-14 found in the artifact
No = amount of carbon-14 found in the living organism before death
If the ratio of Nf to No for an artifact is 0.55, what is the estimated age of the artifact?

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