Example 6.2.1 In a chemical process the most important variables that are thought to affect the yield are pressure and temperature. Three levels of each factor are selected and a factorial erperiment in a CRD with two replications was performed. The results are as shown in table 6.2.1. Analyse the data and draw conclusions. Pressure Temperature 215 230 235 30 80.4 80.7 80.2 80.2 80.6 80.4 40 80.1 80.5 79.9 80.3 80 6 80 1
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- High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 256 202 2 234 215 3 261 176 4 258 201 5 263 173 265 224 7 280 196 8 272 188 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean reduction in cholesterol level. Let d represent the cholesterol level before treatment minus the cholesterol level after. Use tables to find the critical value and round the answers to at least one decimal place. A 90% confidence interval for the mean reduction in cholesterol level is Skip Part Check Save For Later Submit AsCan a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. 1004 975 992 935 985 922 40 100 65 145 84 151 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 1000 1000 980 980 960 960 940 940 920E 920 40 60 80 100 120 140 40 60 80 100 120 140 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) 140 140 120 120 100 100 80 80 60 60 40 1000 960 980 940 40 1000 960 980 940 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) y (maximum wind speed (in miles per hour) y (maximum wind speed (in miles per hour)) y (maximum wind speed (in miles per hour)) y (maximum wind speed (in miles per hour) ..Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: 1. 3 4 12.2 17.5 14.4 19.6 20.0 A USE SALT Ex = 15; Ey = 83.7; Ex² = 55; Ey? = 1,446.61; Exy = 268.8 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) y = (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 22 22 20 20 18 18 16 16 14 14 12 12
- QUESTION 7 Problem 11.57ea: Provide a point estimate for the SE standard error of the regression. Use 3 decimals in your answer Hint: L-23: p 15 (Ex. 11.3dd)Q.1 Two samples A and B were taken from a large concrete mix and tested for the compressive strength of concrete (in MPa), find the mean, median and mode of each of the two samples. The results of tested specimens from each sample were as follows: Compressive Strength (МPа) 15 18 21 24 27 30 Sample A Frequency 2 4 1 Sample B Frequency 3 1, 3.Bivariate data often arises from the use of two different techniques to measure the same quantity. As an example, the accompanying observations on x = hydrogen concentration (ppm) using a gas chromatography method and y = concentration using a new sensor method were read from a graph in an article. Construct a scatterplot. y 200 150 100 O 50 x 46 61 65 70 70 77 96 100 114 118 124 127 140 140 140 150 152 164 198 221 y 38 62 53 68 84 79 93 106 117 116 127 114 134 139 142 170 149 154 200 215 50 USE SALT 100 150 200 X y 200 150 100 O 50 ● 50 100 150 200 X y 200 150 100 O 50 50 100 150 200 X y 200 150 100 O 50 50 100 150 200 X Does there appear to be a very strong relationship between the two types of concentration measurements? Do the two methods appear to be measuring roughly the same quantity? Explain your reasoning. o The points fall very close to a straight line with an y-intercept of approximately 225 and a slope of about 1. This suggests that the two methods are producing…
- 9Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 18.1 14.4 19.6 20.0 Σx = 15; Σy = 87.9; Σx2 = 55; Σy2 = 1,568.77; Σxy = 273.6 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + xBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 14.2 17.7 14.4 19.6 20.0 Σx = 15; Σy = 85.9; Σx2 = 55; Σy2 = 1,506.45; Σxy = 271.2 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained…
- 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 NO emissions (g/kWh): Engine 1 2 D 3 2 5 7 D 7 10 Age 11 16 9 0 12 4 Baseline 1.74 4.41 4.05 1.29 5.29 0.54 3.40 3.43 0.76 1.22 Reformulated 1.89 5.95 5.57 2.70 6.53 0.76 4.96 4.92 0.72 1.45 LAUSE SALT Construct scatter plots of the baseline NO emissions versus age. GE. 3. 3 2. 7 6 3 NO 4 6 4 0 NO 0 NO₂ . NO₂ 3 4 3 age 15 KE ME Construct scatter plots of the reformulated NO emissions versus age. x NO₂ 6 4 15 NO₂ 6. 3. 4 3 2. 5 0 5 10 5 10 10 15 10 age 15 age 6 3 O NO₂ 6 3 4 0 0 NO₂ 0 5 What appears to be the nature of the relationship between these two variables? O As age increases, emissions also increase. O Asage increases, emissions decrease O There is no compelling relationship between the data. 5 10 5 10 10 15 10 15 15 15 age age ageO 200% v + T. View Zaam Add Page Insert Table Chart Теxt Shape Media Camment Callabarate Format Document Document Section Bookmarks Printer & Paper Size Апу Printer US Letter Question1: Page Orientation Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (mg/g). Wheat Barley Maize Oats 8.50 x 11.00 Inches 5.2 6.5 5.8 8.3 4.5 8 4.7 6.1 Header OFooter 6.0 6.1 6.4 7.8 0.5 in 0.6 in 6.1 7.5 4.9 7 Top Bottom V Document Body 6.7 5.9 6 5.5 Document Margins 5.8 5.6 5.2 7.2 1 in 1 in : Top Battom 1 in : a. Using the Analysis of Variance, is there any evidence to support that the thiamin content depends on the type of grain? Use a level of rejection of 0.05. (hint CF=922.56) 1 in : Laft Right b. Based on the answer in part a, conduct Tuckey Procedures. Facing Pages (hint: wheat = 5.71 , īBarety = 6.60, ī Maize = 5.50, xoats = 6.98 ) UHyphenation V Ligatures Question 2: If x= rainfall volume (m)…10a,10b,&10c