Answered: b. the sample variance s2 from the…

b. the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] c. the sample standard deviation d. s2 using the shortcut method

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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10. 18.30 Temperatures are measured at various points on a heated plate (Table P18.30). Estimate the temperature at (a) x = 4, y = 3.2, and (b) x = 4.3, y = 2.7. TABLE P18.30 Temperature (°C) at various points on a square heated plate. x = 0 x = 2 y = 0 y 2 y = 4 y=6 y 8 100.00 85.00 70.00 55.00 40.00 90.00 64.49 48.90 38.78 35.00 x = 6 70.00 48.15 35.03 30.39 27.07 30.00 25.00 x = 4 80.00 53.50 38.43 x = 8 60.00 50.00 40.00 30.00 20.00
In an experiment to determine factors related to weld toughness, the Charpy V-notch impact toughness in ft - 1b (v) was measured for 22 welds at 0°Č, along with the lateral expansion at the notch in % (x,), and the brittle fracture surface in % (x2). The data are presented in the following table. X1 X2 y 32 20.0 28 39 23.0 28 20 12.8 32 21 16.0 29 25 10.2 31 20 11.6 28 32 17.6 25 29 17.8 28 27 16.0 29 43 26.2 27 22 9.6 32 22 15.2 32 18 8.8 43 32 20.4 24 22 12.2 36 25 14.6 36 25 10.4 29 20 11.6 30 20 12.6 31 24 16.2 36 18 9.2 34 28 16.8 30 a. Fit the model y = Bo + B1 X1 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. b. Fit the model y = Bo + B, xz + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. c. Fit the model y = Bo + B1 X1 + Bzx2 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. d. Which of the models in parts (a) through (c) is the best of the three? Why do you think %3D + E. so?
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
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimensof the polymer using a differential scanning calorimeter appeared in the article “The Melting Behaviour of Poly (3-Hydroxybutyrate) by DSC. Reproducibility Study” (Polymer Testing, 2013: 215-220). Compute the following:a. The sample rangeb. The sample variance s2 from the definition [Hint: First subtract 180 from each observation.]c. The sample standard deviationd. s2 using the shortcut method
An EWMA chart is used to monitor a temperature in a pharmaceutical process. An automated measurement is obtained selected every minute and added to the EWMA chart. Experience indicates that s = 0.5 °F. The process target (process mean when in control) is 72 °F. The EWMA uses a lamda value 2=0.35. If the accumulated value of the EWMA at the end of measurement 47 is Z47 = 72.165 and measurement 48 is equal to X4g = 72.466, what will be the accumulated value of the EWMA at the end of measurement 48, that is Z48 = ? 72.225 72.240 72.285 72.270 not enough information 72.255
Q3) An experiment was carried out to investigate variation of solubility of chemical X in water. The quantities in kg that dissolved in 1 liter at various temperatures are show in the table (1). Table (1) Temperature C Mass of X 2.1 2.6 2.9 3.3 15 20 25 30 35 4 50 5.1 70 7 Use the proper methods to answer the following questions: a) Draw a scatter diagram to show the data. b) Estimate the temperature based on the mass of X. c) What quantity might be expected to dissolve at 42 C? Find the quantity that your cquation indicates would dissolve at 10 C and comment on your answer.
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.6 181.7 180.9 181.7 182.7 181.7 181.4 182.1 182.1 180.2 181.8 180.4 Compute the following. (Round your answer to two decimal places.) (a) the sample range (in °C) °C (b) the sample variance s? from the definition [Hint: First subtract 180 from each observation.] s² = (c) the sample standard deviation S = (d) s? using the shortcut method s2
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.4 181.7 180.9 181.5 182.5 181.4 182.1 182.1 180.2 181.6 180.6 Compute the following. (Round your answer to two decimal places.) (a) the sample range (in °C) 2.3 °C S = (b) the sample variance s² from the definition [Hint: First subtract 180 from each observation.] s²: 0.41 X (c) the sample standard deviation 181.7 (d) s² using the shortcut method s²: X = 0.55
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.4 181.7 180.9 181.7 182.5 181.5 181.4 182.1 182.1 180.4 181.6 180.6 Compute the following. (Round your answer to two decimal places.) (a) the sample range (in °C) 2.1 °℃ (b) the sample variance s² from the definition [Hint: First subtract 180 from each observation.] s² = X S = (c) the sample standard deviation X (d) s² using the shortcut method s² = X Need Help? Submit Answer Read It Watch It Master It
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.4 181.7 180.9 181.7 182.5 181.5 181.2 182.1 182.1 180.4 181.8 180.6 Compute the following. (Round your answer to two decimal places.) (a) the sample range (in °C) 2.1 °C (b) the sample variance s? from the definition [Hint: First subtract 180 from each observation.] s2 = 1.41 (c) the sample standard deviation %3= (d) s using the shortcut method s2 = Need Help? Read It Watch It Master It
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.4 181.7 180.9 181.7 182.5 181.5 181.4 182.1 182.1 180.4 181.6 180.4 Compute the following. (Round your answer to two decimal places.) (a) the sample range (in °C) 2.1 °C (b) the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] s² X Nood = 0.53 (c) the sample standard deviation S = 0.73 X (d) s² using the shortcut method s² = 0.39 X
The sulfate ion concentration in natural water can be determined by measuring the turbidity that results when an excess of BaCl2 is added to a measured quantity of the sample. A turbiditimeter, the instrument used for this analysis, was calibrated with a series of standard Na2SO4 solutions. The following data were obtained for the calibration: