Fast! If you take this penny today, I will give you double tomorrow the first day of the New Year. Then on the second day of the New Year, I will give you
double what I did on the first day. I will continue with this pattern for 64 days.
1. How much money did I give you on the 21st day of the year?
2. How much money was I supposed to give you on the 64th day of the year?
3. On what day of the year did I give you 2,097,152¢ or $ (convert this to dollars)
4. On what day of the year did I give you 335,544.32¢ or $ (convert this to dollars)
5. On what day of the year did I give you 2,147,483,648¢ or $ (convert to dollars)

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