Statistics: Variance and Vanguard Total Stock

Statistics Midterm paper 1. Identify the implied population in the information here. Government agencies carefully monitor water quality and its issuing on wetlands (Reference Environment Protection Agency Wetland Report EPA 832-R-93-005). Of particular name is the absorption of nitrogen in water draining from fertilized lands. Too lots nitrogen can kill fish and wildlife. Twenty-eight samples of water were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per l of water) was discoverd for each sample.The variable in this information is nitrogen concentration (mg nitrogen/l water). a. number of fish b. samples of water taken at random c. the wetlands d. nitrogen concentration (mg nitrogen/l water) in the correct lake e. government agencies 2. Find the technique for gathering data in the bailiwick below. A study of each league football scores reach through touchdowns and field goals was conducted by the National Football League to determine whe ther field goals account for more scoring events than touchdowns (USA Today). a. sampling b. census c. test d. simulation . observational study 3. Its not an easy life, but its a good life. Suppose you decide to take the summer off and signalize on as a deck hand for a moneymaking(prenominal)-grade fishing boat in Alaska that specializes in deep-water fishing for res publica fish. What kind of fish can you expect to catch? One instruction to answer this question is to examine the reports on realm fish caught in the Gulf of Alaska. The avocation list indicates the types of fish caught annually in thousands of metric function tons flatfish, 36. 3 Pacific cod, 68. 6 sablefish, 16. 0 Walleye Pollock, 71. 2 rockfish, 18. 9.Make a Pareto chart showing the annual harvest for commercial fishing in the Gulf of Alaska. 4. How hot does it get in conclusion Valley? Assume that the undermentioned data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures were taken from May to November near Furnace Creek. Compute the mode for these ground temperatures. 147 153 167 174 182 178 179 182 178 178 167 0 153 144 a. 144 b. 182 c. 167 d. 153 e. 178 5. Find the sample variance s2 for the following sample data. Round your answer to the nearest hundredth. x 23 17 12 35 29 . 84. 20 b. 67. 36 c. 101. 00 d. 88. 84 e. 126. 25 6. Do bonds reduce the overall venture of an investment portfolio? Let x be a random variable representing annual percent drive away for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual drive out for the Vanguard equilibrate Index (60% stock and 40% bond). For the past several years, assume the following data. Compute . x 14 0 36 23 33 25 26 14 14 23 y 6 5 26 17 24 17 17 5 6 6 a. 4607 b. 4803 c. 5332 d. 4243 e. 4940 Answers Queston 1 The population is d. the nitrogen population in the entire lake. doubtfulness 2 The technique is a census since a ll events are to be measured. Question 3. The Pareto Chart is belowpic Question 4 The mode is the most frequently occurring value in a lay out of data so here the mode is 178 so the answer is e. Question 5. The samplle variance is 84. 20 so the answer is a. Question 6. The flirt with return for the Vanguard Total Stock Index is 20. 8 while the mean return for the Vanguard Balanced Index is 12. 9 (with bonds). Based on this data you would conclude that bonds do not reduce the overall risk of an investment portfolio since the mean return was actually less when the porfolio has bonds in it.