As an industrial engineer is working a test of material used to on a certain product to determine whether it is more economical to repair a damaged area rather than replace the entire structure. The engineer obtained the following data on the bond length (x variable) vs. the rupture load (y variable) Bond Length (mm) Rupture Load (N) 50                                17,052 50                                14,063 80                                26,264

6. Consider the data set shown below. Volume Mass (μL) (g) 10.6 0.01 18.8 84 146 198 386 611 990 0.02 0.07 0.16 0.21 0.37 0.63 0.98 a) Draw a scatter plot of the data. Be sure to label the axes! b) Draw a line-of-best-fit. c) Using your line-of-best-fit, estimate the mass of 700 μL of water: (must show your work on graph!)

2. A valve manufacturer produces a butterfly valve composed of twosemicircular plates on a common spindle that is used to permit flow inone direction only. The semicircular plates are supplied by a vendor withspecifications that the plates be 2.37 millimeters thick and have a tensilestrength of five pounds per millimeter. A random sample of 20 suchplates is taken. Electronic calipers are used to measure the thickness ofeach plate. A universal testing machine was used to test the tensilestrength. The sample data are found Below.  a. Determine, with 95% confidence, if mean tensile strength is less than five pounds permillimeter. Use the critical value approach.b. Are more than half of plates thicker than 2.37? Use the p-value approach with 95%confidence.  Thickness Strength 2.4066 4.9175 2.1328 4.8067 2.5937 5.1246 2.1933 4.7555 2.4579 4.7233 2.0665 4.3934 2.1994 4.4609 2.4575 4.7377 2.6724 4.3407 2.2738 4.9487 2.5392 4.4265 2.7956 4.3583 2.1228 4.5608…

A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the average area of cross- sections of the solid by planes that lie between the given ones?