Coach Williams bought trophies for his players at the end of the season. Each trophy is packed in a cube-shaped box that has a volume of one cubic foot. To bring them to the field, Coach Williams stacks them in a small cart. The cart is shaped like a rectangular prism. The bottom of the cart can be completely covered by a layer of 8 boxes. If 3 layers of boxes will fill the entire cart, what is the volume of the cart?

Amanufacturing firm has been averaging 16.8 orders per week for several years. however, during a recession, orders appeared to slow. suppose the firm’s production manager randomly samples 31 weeks and finds an average of 15.6 orders with a standard deviation of 2.3 orders. using a 0.025 significance level, test whether the mean number of orders has decreased. type the full 5 step procedure into the answer box, then for multiple choice practice, answer the following: 1. what is the name and symbol of the parameter that you are testing? 2. what is the symbol and value of the point estimate of that parameter? 3. what distribution are you using to test this parameter? 4. what is the critical value? 5. what is the test statistic value? 6. what is the p-value?