Topic: Plywood Manufacturing A product engineer wants to optimize the cutting of strips of wood, which are used to make plywood. To cut the wood strips, the log is held in place by chucks which are inserted at each end. The log is then spun while a saw blade cuts off a thin layer of wood. The engineer measures the torque that can be applied to the chucks before they spin out of the log, under different conditions of log diameter, log temperature, and chuck penetration. Worksheet column Diameter Description The log diameter: 4.5 and 7.5 Factor The chuck penetration: 1.00, Factor 1.50, 2.25, and 3.25 The log temperature: 60, Factor 120,150 Variable type Distance Temperature The torque that can applied Response before the chuck spins out Torque 1. A study of Preston et al. examined a sample of 120 log diameter to make a plywood. Is there a significance difference in mean of torque force (newton/meter) for log diameter 4.5 and 7.5? Let a= 0.05. What is the p-value? Compute and interpret the p-value. 2. The sample of 120 chuck penetration, 1.00, 1.50, 2.25 and 3.25 distance are entered into statistical software package. Analysis of variance is used to investigate of there is a difference in the mean torque force of the four-chuck penetration. What do you condude? Use the .01 significance level. 3. In this exercise, you will obtain some practice doing a simple linear regression using Minitab software. This data set has n =120 observation of the log temperature (x) and torque force (y). a) Find: i. The linear regression model, y = a +bx ii. The a and b value ii. Corelation coefficient and correlation determination. iv. Scatter plot with overlay of fitted line. b) Write one paragraph interpretation of your linear regression model from your finding in (a)

An art museum owns a painting that it would like to reproduce in reduced size onto a 24-inch by-36-inch poster. The painting is 85 inches by 140 inches. Give your recommendation for the size of the reproduced painting on the poster- how wide and long do you suggest that it be? Draw a scale picture showing how you would position the reproduced painting on the poster. Explain your reasoning.

Could you write out the solution or make it more clear. I can't read the work when it is a jumble of numbers. Thank you.

The Gottesmann family is filling their swimming pool.  The perimeter of the pool is rectangular.  Below is a diagram of the shape of the bottom of the pool. Mr. Gottesmann filled the shaded region of the pool with 401 gallons of water.  Which is the best estimate of the number of additional gallons it will take to fill the rest of the swimming pool?