Aubrey has a new art box in the shape of a rectangular prism. The box is 12cm by 20cm by 5cm. The only thing in the art box is a new pink eraser with the dimensions shown below: 4cm by 2cm by 0.5cm. What is the volume of the art box not taken up by the eraser? Please help ASAP!!!

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.