3. The table provides data associated with a study conducted at the Virginia Polytechnic Institute and State University on the development of a relationship between the roots of trees and the action of a fungus. Minerals are transferred from the fungus to the trees and sugars from the trees to the fungus. Two samples of 10 northern red oak seedlings were planted in a greenhouse, one containing seedlings treated with nitrogen and the other containing seedlings with no nitrogen. All other environmental conditions were held constant. All seedlings contained the fungus Pisolithus tinctorus. The stem weights in grams were recorded after the end of 140 days.
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML?1) The following data show the results of a study based on the number of hours college students spend playing video games and their GPAs: Number of Hours Playing Video Games(per week)= 42 GPA= 0.2Number of Hours Playing Video Games(per week)= 38 GPA= 0.9Number of Hours Playing Video Games(per week) = 32 GPA= 1.0Number of Hours Playing Video Games(per week) = 26 GPA = 1.1Number of Hours Playing Video Games(per week) = 23 GPA= 1.2Number of Hours Playing Video Games(per week) = 19 GPA= 2.5Number of Hours Playing Video Games(per week) = 15 GPA = 3.0 a) Create a scatter plot and be sure to LABEL BOTH axis and give the chart an overall name. Have the graph display the “r-value” and the correct equation.b) What kind of correlation is this?c) Is this more of a linear or exponential model? Why?d) Predict the standard GPA if a student spends one hour a week playing videogames.
- 5. A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. Heater Wattage Area 1 750 291 2 1,750 83 3 1,250 215 4 1,750 209 5 1,500 295 6 750 153 7 1,000 40 8 750 166 9 1,250 115 10 1,250 146 11 750 113 12 1,000 56 13 1,750 284 14 1,000 45 15 750 82 16 1,250 175 17 750 150 18 1,500 231 19 1,000 87 20 750 52 Click here for the Excel Data FileRequired:a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734…1.1 Find the independent nonlinearity and the correlation coefficient for the following set of inputs and outputs from a nearly linear system. Instrument was designed for an output equal to twice the input. Full scale is 20. Input 0.50 1.50 2.00 5.00 10.00 Output 0.90 3.05 4.00 9.90 20.50Here are some data I found on the enzyme activity of mannose-6-phosphate isomerase (MPI) and MPI genotypes in the amphipod crustacean Platorchestia platensis. Because I didn't know whether sex also affected MPI activity, I separated the amphipods by sex. F and S stand for fast and slow respectively, and have to do with electrophoretic mobility on an agarose gel. FF, FS, and SS then reflect genotypes with FS being the heterozygote. Consider the numbers to be activity units. Analysis these data with the appropriate two-way ANOVA and state your conclusions below. Genotype Female Male FF 2.838 1.884 4.216 2.283 2.889 4.939 4.198 3.486 FS 3.55 2.396 4.556 2.956 3.087 3.105 1.943 2.649 SS 3.62 2.801 3.079 3.421 3.586 4.275 2.669 3.11 I use excel for this question
- ch 13. 5: Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined: The amount earned in commissions last month (y) The number of miles driven last month (x1) The number of sales calls made last month (x2) The information is reported below. Commissions ($000) Calls Driven Commissions ($000) Calls Driven 29 139 2,371 27 146 3,290 26 132 2,226 25 144 3,103 28 144 2,731 29 147 2,122 26 142 3,351 25 144 2,791 29 142 2,289 25 149 3,209 28…Suppose you have been employed by ALADIN Solutions Ltd. as an Operations Manager to study the efficiency of customer service center of SONE Bank in handling customers. The customer service center has two serving points, Alpha and Bravo, through which customers are catered. Your field survey results are presented in Table 1 as follows: Table 1: Wait time of Service Points in Minutes Customer No. Alpha Bravo 1 12 10 2 16 3 3 11 8 4 10 7 5 17 6 6 10 16 7 13 15 8 18 16 9 6 20 10 17 9 You are required to write a letter to your supervisor for presenting the results of your analysis. Use mean waiting times and box plots as the tools to compare the efficiency of Alpha and Bravo serving points. Assuming a customer visits Alpha and Bravo points and is handled in 18 minutes. Which point is handling customer better? Use Z-Score to determine this and incorporate the results in your letter.This is a multipart question 6.) Diesel Dave has modified his massive truck to combat global cooling, and to roll coal on his neighbor Environmentalist Ed. With each blast of diesel exhaust fumes, Diesel Dave releases sulfur dioxide in a giantblack cloud. Every morning as Diesel Dave is leaving home he rolls coal into Environmentalist Ed's yard. Not surprisingly, Environmentalist Ed is diligently collecting data on the air quality in his yard. Suppose Diesel Davereleases sulfur dioxide in a normally distributed manner with a mean of 2800 ppm and a standard deviation of 120 ppm. What is the probability that on a random morning he will release sulfur dioxide greater than 3000ppm? Suppose in order to sue Diesel Dave, Environmentalist Ed needs the daily average level of sulfur dioxide emissions to exceed 3000 ppm. However, he can choose to take his mean measurement over 2, 3, or 15 days. Which number of days would maximize Environmentalist Edís chances of suing Diesel Dave? (Hint: What…
- A dietitian wishes to see if a person’s cholesterol level will be changed if the diet is supplemented by a certain mineral. Four subjects were pre-tested, and they took the mineral supplement for a 6-week period. The results are shown in the table. Is there sufficient evidence to conclude that the population mean of cholesterol levels has been changed after six weeks at α=0.2α=0.2? Assume that the differences are from an approximately normally distributed population. Subject Cholestrol Level (mg/dl) Cholestrol Level after 6 Weeks (mg/dl) dd ¯dd¯ (d−¯d)2(d-d¯)2 1 206 217 11 2 219 184 -35 3 202 204 2 4 213 205 -8 Total -30 a) Calculate the mean, the sum of the squared deviation from the mean, and the standard deviation of differences. Do not include the unit for each answer: ¯d=d¯= (do not round) ∑(d−¯d)2=∑(d-d¯)2= (do not round) sd=sd= (rounded to one decimal place) b) Perform the hypothesis test in the following steps: Step 1.…European City Change in Hotel Costs U.S. City Change in Hotel Costs Ljubljana -0.009 Birmingham 0.074 Hotel prices worldwide are projected to increase by 3% next year, but is there a difference between Europe and US? Suppose we have projectd changes in hotels cost for 47 randomly selected major European cities and 53 randomly selected major American Cities. Geneva 0.000 Pittsburgh 0.089 Zagreb 0.060 Indianapolis -0.013 Stockholm 0.041 Norfolk 0.070 Tirana 0.082 Boston 0.077 Riga 0.076 Winston-Salem 0.074 Istanbul 0.021 Stockton 0.021 Bucharest 0.073 Laredo 0.024 Budapest 0.045 Corpus Christi 0.088 Part a Minsk 0.023 Portland 0.020 On the basis of the sample results, can we conclude that the mean change in hotels rates in Europe and US are different ? Develop appropriate null and alternative hypotheses. Rome 0.033 St. Paul 0.061 Antwerp 0.012 Memphis 0.086 Reykjavik -0.002 Virginia Beach 0.052 Düsseldorf 0.044…This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $1,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $1,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473