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Consider the drying time data for Exercise 1.1 on page 13. Compute the sample variance and sample standard deviation. Reference: Exercise 1.1 The following measurements were recorded for the drying tine. in hours. of a certain brand of latex pa'nt. 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.5 3.? 2.3 4.4 4.0 5.2 3.0 4.3 Assume that the measurements are a simple random sample. {a} What is the sample size for the above sample? {In} Calculate the sample mean for these data. {c} Calculate the sample median. {djl Plot the data by way of a dot plot. {e} Compute the 20% trirm'ned mean for the above data set. { Is the sample mean for these data more or less descriptive as a center of location than the trimmed mean? Shadowland, a manufacturer of air-freightable pet crates, has identified two projects that, though hav- ing a relatively high risk, are expected to move the company into new revenue markets. Utilize a spreadsheet solution to (a) select any combination of the projects if the MARR is equal to the after- tax WACC and (b) determine if the same projects should be selected if the risk factors are enough to require an additional 2% per year for the invest- ment to be made. Initial After-Tax Cash Project Investment, $ Flow, $/Year Life, Years Wildlife (W) -250,000 48,000 10 Reptiles (R) -125,000 30,000 Financing will be developed using a D-E mix of 60-40 with equity funds costing 7.5% per year. Debt financing will be developed from $10,000, 5% per year, paid quarterly, 10-year bonds. The ef- fective tax rate is 30% per year. Two friends each invested $20,000 of their own (equity) funds. Stan, being more conservative, pur- chased utility and manufacturing corporation stocks. Theresa, being a risk taker, leveraged the $20,000 and purchased a $100,000 condo for rental1. Ten attributes were rank-ordered in terms of in- creasing importance and were identified as A, B, C, . . ., and J. Determine the weight of (a) attri- bute C and (b) attribute J. A team of three people submitted the following statements about the attributes to be used in a weighted attribute evaluation. Use the statements to determine the normalized weights if assigned scores are between 0 and 100. Attribute Comment 1. Flexibility (F) The most important factor 2. Safety (S) 70% as important as uptime 3. Uptime (U) One-half as important as flexibility 4. Rate of retum (R) Twice as important as safety Different types and capacities of crawler hoes are being considered for use in a major excavation on a pipe-laying project. Several supervisors who served on similar projects in the past have identi- fied some of the attributes and their view of rela- tive importance. For the information that follows, determine the weighted rank order, using a 0-to-10 scale and the normalized weights.Consider the density function SAVE, 02, Y= 1); c) (C) P(X > Y);(d) P(X + Y = 4). A coin is flipped until 3 heads in succession occur. List only those elements of the sample space that require 6 or less tosses. Is this a discrete sample space? Explain.A continuous random variable X that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 + x)/27. Find (a) P(X 0, y>0, elsewhere, find P(0