kindly Solve the question

A certain polymer is used for evacuation systems for aircraft. It is important that the polymer be resistant to the aging process. Twenty specimens of the polymer were used in an experiment. Ten were assigned randomly to be exposed to an accelerated batch aging process that involved exposure to high temperatures for 10 days. Measurements of tensile strength of the specimens were made, and the following data were recorded on tensile strength in psi: No aging: 227 222 218 217 225 218 216 229 228 221 Aging: 219 214 215 211 209 218 203 204 201 205 (a) Do a dot plot of the data. (b) From your plot, does it appear as if the aging process has had an effect on the tensile strength of thispolymer? Explain. (c) Calculate the sample mean tensile strength of the two samples. (d) Calculate the median for both. Discuss the similarity or lack of similarity between the mean andmedian of each group.5.9 A metallurgical engineer is considering two mate- rials for use in a space vehicle. All estimates are made. (a) Which should be selected on the basis of a present worth comparison at an interest rate of 12% per year? (b) At what first cost for the mate- rial not selected above will it become the more economic alternative? Material X Material Y First cost, $ -15,000 -35,000 Maintenance cost, $ per year -9.000 -7,000 Salvage value, $ 2,000 20,000 Life, years 5The Murphy County Fire Department is consider- ing two options for upgrading its aging physical fa- cilities. Plan A involves remodeling the fire stations on Alameda Avenue and Trowbridge Boulevard that are 57 and 61 years old, respectively. (The industry standard is about 50 years of use for a station.) The cost for remodeling the Alameda station is esti- mated at $952,000 while the cost of redoing the Trowbridge station is $1.3 million. Plan B calls for buying 5 acres of land somewhere between the two stations, building a new fire station, and selling the land and structures at the previous sites. The cost of land in that area is estimated to be $366,000 per acre. The size of the new fire station would be 9000 square feet with a construction cost of $151.18 per square foot. Contractor fees for overhead, profit, etc. are expected to be $140,000, and architect fees will be $81,500. (Assume all of the costs for plan B occur at time 0.) If plan A is adopted, the extra cost for personnel and equipment will be $126,000 per year. Under plan B, the sale of the old sites is antici- pated to net a positive $500,000 five years in the future. Use an interest rate of 6% per year and a 50- year useful life for the remodeled and new stations to determine which plan is better on the basis of a present worth analysis.Each year Exxon-Mobil expends large amounts of funds for mechanical safety features throughout its worldwide operations. Carla Ramos, a lead engineer for Mexico and Central American operations, plans expenditures of $1 million now and each of the next 4 years just for the improvement of field-based pressure-release valves. Construct the cash flow diagram to find the equivalent value of these expenditures at the end of year 4, using a cost of capital esti- mate for safety-related funds of 12% per year.Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature ('F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density f(x, y) = 10. -(sty), r>0, y>0, elsewhere, Find -(sty). r>0, y>0, f(x,y) = 10, elsewhere,\fThe following data represent the length of life, in seconds, of 50 fruit flies subject to a new spray in a controlled laboratory experiment: 17 20 10 23 13 12 19 18 24 12 13 16 10 13 18 10 19 16 7 14 15 10 15 (a) Construct a double-stem-and-leaf plot for the life span of the fruit flies using the stems 0, 0, 1, 1, 2, 2, and 3 such that stems coded by the symbols and . are associated, respectively, with leaves 0 through 4 and 5 through 9. (b) Set up a relative frequency distribution. (c) Construct a relative frequency histogram. (d) Find the median