3) A undergraduate researcher wanted to know whether enzyme activity of mannose-6-phosphate isomerase (MPI; measured in mg/L) differed between three genotypes (FF, FS, and SS) and sex in the amphipod crustacean Platorchestia platensis. Genotype FF Female Male 2.838 1.884 4.216 2.283 1.889 4.939 4.198 3.486 FS 3.550 2.396 2.956 4.566 3.087 3.105 1.943 2.649 SS 3.620 2.801 3.079 3.421 3.586 4.275 2.669 3.110
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How do I go about setting up this problem? Do I start by finding the mean for each column? I think I need to use a 2-way ANOVA for this or Friedman's test. The data is
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 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 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2The article “Effects of Diets with Whole Plant-Origin Proteins Added with Different Ratiosof Taurine:Methionine on the Growth, Macrophage Activity and Antioxidant Capacity ofRainbow Trout (Oncorhynchus mykiss) Fingerlings” (O. Hernandez, L. Hernandez, et al.,Veterinary and Animal Science, 2017:4-9) reports that a sample of 210 juvenile rainbowtrout fed a diet fortified with equal amounts of the amino acids taurine and methionine for aperiod of 70 days had a mean weight gain of 313 percent with a standard deviation of 25, while 210 fish fed with a control diet had a mean weight gain of 233 percent with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets.In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen ( NOx ) of diesel trucks, 10 trucks were run at temperatures of 40°F and 80°F . The emissions, in parts per billion, are presented in the following table. Truck 40°F 80°F 1 926.5 896.7 2 851.1 857.0 3 975.5 952.1 4 1009.3 884.8 5 871.8 840.7 6 949.2 885.1 7 1006.3 885.5 8 836.5 777.8 9 837.8 850.2 10 958.9 882.1 Send data to Excel Let μ1 represent the mean emission at 40°F and =μd−μ1μ2 .Can you conclude that the mean emission differs between the two temperatures? Use the =α0.05 level of significance and the TI-84 Plus calculator to answer the following. p value ? do we reject? is there enough evidence :?
- 5.39 ● The following data on degree of exposure to 242Cmalpha particles (x) and the percentage of exposed cellswithout aberrations (y) appeared in the paper “Chromosome Aberrations Induced in Human Lymphocytes by D-TNeutrons” (Radiation Research [1984]: 561–573):An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.74 4.38 4.04 1.23 5.30 0.58 3.35 3.44 0.73 1.23 Reformulated 1.85 5.93 5.52 2.67 6.54 0.76 4.94 4.87 0.69 1.39 Construct scatter plots of the baseline NOx emissions versus age. Construct scatter plots of the reformulated NOx emissions versus age. What appears to be the nature of the relationship between these two variables? As age increases, emissions also increase.As age increases, emissions decrease. There is no compelling relationship between the data.An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.70 4.38 4.06 1.24 5.29 0.59 3.35 3.45 0.73 1.22 Reformulated 1.86 5.91 5.51 2.70 6.50 0.71 4.95 4.86 0.72 1.41 Construct scatter plots of the baseline NOx emissions versus age. What appears to be the nature of the relationship between these two variables? There is no compelling relationship between the data. As age increases, emissions also increase. As age increases, emissions decrease.
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- An automotive engineer is investigating two different types of metering devices for an electronic fuel injection system to determine whether they differ in their fuel mileage performance. The system is installed on 10 different cars, and a test is run with each metering device on each car. The data is provided below: Metering Device Car 1 2 1 17.6 16.8 2 19.4 20.0 3 18.2 17.6 4 17.1 16.4 5 15.3 16.0 6 15.9 15.9 7 16.3 16.5 8 18.0 18.4 9 17.3 16.4 10 19.1 20.1 Is there a significant difference between the means of the two metering devices? Use . Interpret the result in the context of the problem. An article in the journal Hazardous Waste and Hazardous Materials (Vol. 6, 1989) reported the results of an analysis of the weight of calcium in standard cement and cement doped with lead. Reduced levels of calcium would indicate that the hydration mechanism in the cement is blocked…The article “Effect of Varying Solids Concentration and Organic Loading on the Performance of Temperature Phased Anaerobic Digestion Process” (S. Vandenburgh and T. Ellis, Water Environment Research, 2002:142–148) discusses experiments to determine the effect of the solids concentration on the performance of treatment methods for wastewater sludge. In the first experiment, the concentration of solids (in g/L) was 43.94 ± 1.18. In the second experiment, which was independent of the first, the concentration was 48.66 ± 1.76. Estimate the difference in the concentration between the two experiments, and find the uncertainty in the estimate.The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?