As an artist, Ernest is doing a solo show titled CUBES. One of his pieces is shown below. Each layer of the piece is a cube. The bottom cube has a side
length of 3 m, the middle cube has a side length of 2 m, and the top cube has a
side length of 1 m. The top two layers are each centered on the layer below.
Ernest wishes to paint the piece. Since the piece will be suspended in the air, the
bottom will also be painted. Determine the total surface area of the piece,
including the bottom.

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t. inv.2t to find the value of t for the interval calculation.