In an experiment to determine the effect of ambient temperature on the emissions 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 1 834.7 815.2 753.2 765.2 855.7 842.6 901.2 797.1 785.4 764.3 862.9 819.5 882.7 783.6 740.3 694.5 748.0 772.9 848.6 794.7 JAWN 2 3 4 5 01 6 7899 10 10'DIT
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- Q. 3 We are given the following data for a city: Population of the city on March 30, 2020 = 183,000 Number of new active cases of TB occurring between January 1 and June 30, 2020 26 Number of active TB cases according to the city register on January 1, 2020 = 264 Find the (i) Cumulative incidence of active cases of TB for the 6-month period3; (ii) Prevalence of active TB as of June 30, 2020.An article in Air and Waste ("Update on Ozone Trends in California's South Coast Air Basin," Vol. 43, 1993) studied the ozone levels on the South Coast air basin of California for the years 1976-1991. The author believes that the number of days that the ozone exceeds 0.20 parts per million depends on the seasonal meteorological index (the seasonal average 850 millibar temperature). The data follow: Year Days Index 16.3 1976 91 1977 105 17.1 1978 106 18.2 1979 108 18.1 1980 88 17.2 1981 91 18.2 1982 58 16.0 1983 82 17.2 Round your answers to 2 decimal places. (a) Fit a simple linear regression model to the data. Test for significance of regression using a = 0.05. y = i Calculate fo: i Year Days Index 1984 82 17.7 1985 65 17.2 1986 61 16.9 1987 48 17.1 1988 61 18.2 1989 43 17.3 1990 33 17.5 1991 36 16.6 i + i Is the simple linear regression model significant? No. (b) Calculate a 95% confidence interval on the slope. ≤B₁ ≤i XAn 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.
- C-4) The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. Ten observations on concentration are taken with each catalyst, and the data follow: Catalyst 1: 57.9, 66.2. 65.4, 65.4, 65.2. 62.6, 67.6, 63.7, 67.2. 71.0 Catalyst 2: 66.4. 71.7. 70.3. 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8. Find a 95% confidence interval on the ratio of active concentrations for the two catalysts, and explain it.Scientists are looking at the effects of global warming on clutches of sea turtle hatchlings in different parts of the world. The data below has been collected: 1.Temperature of Incubation (in Kelvin) 2. Gender Group of Hatchling Clutch (0=0% male; 1= greater than 0% but less than or equal to 10% male; 2= greater than 10% but less than 20% male; 3= greater than 20% but less than or equal to 30% male and so on) 3. Number of hatched eggs 4. number of unhatched eggs 5. Location of Turtles (0=west North America; 1= west South America; 2= tropical regions of Pacific; 3= northwestern Atlantic; 4= Indian Ocean Which of the above variables are measured using a nominal scale, ordinal scale and ratio scale. (An answer can be none of variables) thank youQ1 An engineering student wants to study the impact of temperature and humidity on yield. The following data was recorded by the student. S.N Temperature Humidity Yield 1 40 57 112 2 45 54 118 3 50 54 128 4 55 60 121 60 66 126 65 59 136 7 70 61 144 8 75 58 142 80 59 149 10 85 56 165
- An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: Frequency: African American USE SALT Calculate th x² = | OHP₁ P₂P, P = 0.250 H₁: at least one p, = 0.25 Asian In a recent census, the proportions for these four ethnic groups are 0.177, 0.042, 0.734, and 0.047, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P P₂P and p be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) State the appropriate hypotheses. O H₂: P₁ = 0.047, P₂ -0.011, p = 0.330, p = 0.005 H: at least one p, P Caucasian Hispanic 330 OH: P₁ = 0.120, P, = 0.028, p = 0.840, p = 0.013 H: at least one p, * P OH₂: P₁ = 0.177, P₂ = 0.042,…A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---2.1