A chemical product has 3 layers: substrate (X₁), active layer (X₂), and coating layer (X3). Afactory makes such products, and the thicknesses of these three layers (in micrometers) areindependent and normally distributed as X₁~N(10000,250), X2-N(1000,20), X3~N(80,4). Thestandards of the thicknesses of these layers are 9200

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Answered: A chemical product has 3 layers:…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 37E

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Stsinat dt
The article "Influence of Freezing Temperature on Hydraulic Conductivity of Silty Clay" (J. Konrad and M. Samson, Journal of Geotechnical and Geoenvironmental Engineering, 2000:180–187) describes a study of factors affecting hydraulic conductivity of soils. The measurements of hydraulic conductivity in units of 108 cm/s (y), initial void ratio (x), and thawed void ratio (x2) for 12 specimens of silty clay are presented in the following table. y 1.01 1.12 1.04 1.30 1.01 1.04 0.955 1.15 1.23 1.28 1.23 1.30 0.84 0.88 0.85 0.95 0.88 0.86 0.85 0.89 0.90 0.94 0.88 0.90 X1 0.81 0.85 0.87 0.92 0.84 0.85 0.85 0.86 0.85 0.92 0.88 0.92 X2 Fit the model y = Bo + fix1 + e. For each coefficient, test the null hypothesis that it is equal to 0. Fit the model y = Bo + Bzx2 + e. For each coefficient, test the null hypothesis that it is equal to 0. Fit the model y = Bo + BzX1 + Bzxz + e. For each coefficient, test the null hypothesis that it is equal to 0. d. Which of the models in parts (a) to (c) is…
As an industrial engineer is working a test of material used to on a certain product to determine whether it is more economical to repair a damaged area rather than replace the entire structure. The engineer obtained the following data on the bond length (x variable) vs. the rupture load (y variable) Bond Length (mm) Rupture Load (N) 50 17,052 50 14,063 80 26,264 80 19,600 110 21,952 110 26,362 140 26,362 140 26,754 170 31,654 170 32,928 Find the 95% Confidence Interval for the conditional mean of the response variable at x = 140
Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 148 pairs of measurements yield x= 32.00 cm, y = 162.25 cm, r= 0.044, P-value = 0.596, and y = 159 +0.1111x. Find the best predicted value of y (height) given an adult female with an arm circumference of 32.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. The best predicted value is cm. (Round to two decimal places as needed.)
The variables are independent.
Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 146pairs of measurements yield x=34.69cm, y=163.25cm, r=0.075, P-value=0.368, and y=157+0.1826x. Find the best predicted value of y (height) given an adult female with an arm circumference of 40.0cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. The best predicted value is ____cm.
Two real-valued RVs, X and Y, have joint PDF 1 p(x1, x2) = exp 2TV1- 2(1 - r?) where -1
Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 143 pairs of measurements yield x = 32.40 cm, y = 160.39 cm, r=0.072, P-value = 0.393, and y = 157 + 0.1075x. Find the best predicted value of y (height) given an adult female with an arm circumference of 34.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D The best predicted value is cm. (Round to two decimal places as needed.) Enter your answer in the answer box. MacBook Pro 888 esc %24 % & 4. 9- E T. Y. H. K %#3
What is one dimension heat flow?
17.7 Butterfly wings. Researchers studied the morphological attributes of monarch butterflies (Danaus plexippus), a species that undertakes large seasonal migrations over North America. They measured the forewing weight (in milligrams, mg) of a sample of 92 monarch butterflies, all of which had been reared in captivity in identical conditions.° Figure 17.4 shows the output from the statistical software JMP. (The data are also available in the Large.Butterfly the data file if you wish to practice working with your own software.) Estimate with 95% confidence the mean forewing weight of monarch butterflies reared in captivity. Follow the four- step process as illustrated in Example 17.2. 4 STEP そMP FWweight 30 25 20 15 10 11 12 13 14 15 8 9 10 Summary Statistics Mean 11.795652 Std Dev 1.1759413 Std Err Mean 0.1226004 Upper 95% Mean Lower 95% Mean 1 FIGURE 17.4 Software output (JMP) for the forewing weight of monarch 12.039183 11.552122 92 N. butterflies. Count
Please use alpha= 0.05. thak u

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