WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
9th Edition
ISBN: 9780357893104
Author: Devore; Jay L.
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Question
Chapter 12.4, Problem 50E
a.
To determine
Find the
b.
To determine
Find and interpret the interval estimate for the true
c.
To determine
Find the prediction interval of Fermi-level position for a single observation when the Ge concentration is 0.5.
Compare the width of the prediction interval with the confidence interval obtained in part (b).
d.
To determine
Find the simultaneous confidence interval for the true mean of Fermi-level position when the Ge concentration is 0.3, 0.5 and 0.7 with at least 97% joint confidence level.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The article "Oxidation State and Activities of Chromium Oxides in Cao-SiO,-CrO, Slag
System" (Y. Xiao, L. Holappa, and M. Reuter, Metallurgical and Materials Transactions B,
2002:595-603) presents the amount x (in mole percent) and activity coefficient y of CrO,5
for several specimens. The data, extracted from a larger table, are presented in the following
table.
х
У
2.6
10.20
5.03
19.9
8.84
0.8
6.62
5.3
2.89
20.3
2.31
39.4
7.13
5.8
3.40
29.4
5.57
2.2
7.23
5.5
2.12
33.1
1.67
44.2
5.33
13.1
16.70
0.6
9.75
2.2
2.74
16.9
2.58
35.5
1.50
48.0
Compute the least-squares line for predicting y from x.
b. Plot the residuals versus the fitted values.
Compute the least-squares line for predicting y from 1/x.
d. Plot the residuals versus the fitted values.
C.
Using the better fitting line, find a 95% confidence interval for the mean value of y
when x= 5.0.
The article "Simulation of the Hot Carbonate Process for Removal of CO, and H,S from
Medium Btu Gas" (K. Park and T. Edgar, Energy Progress, 1984:174–180) presents an
equation used to estimate the equilibrium vapor pressure of CO, in a potassium carbonate
solution. The actual equilibrium pressure (in kPa) was measured in nine different reactions
and compared with the value estimated from the equation. The results are presented in the
following table:
Reaction
Estimated Experimental
Difference
45.10
42.95
2.15
2
85.77
79.98
5.79
3
151.84
146.17
5.67
4.
244.30
228.22
16.08
5
257.67
240.63
17.04
6
44.32
41.99
2.33
84.41
82.05
2.36
8
150.47
149.62
0.85
253.81
245.45
8.36
Find a 95% confidence interval for the mean difference between the estimated and actual
pressures.
The article "Measurements of the Thermal Conductivity and Thermal Diffusivity of
Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al.,
International Journal of Thermophysics, 2002:1077-1090) reports measurements of the
thermal conductivity (in W· m-1 . K') and diffusivity of several polymers at several
temperatures (in 1000°C). The following table presents results for the thermal conductivity
of polycarbonate.
Cond.
Temp.
0.236
0.028
0.241
0.038
0.244
0.061
0.251
0.083
0.259
0.107
0.257
0.119
0.257
0.130
0.261
0.146
0.254
0.159
0.256
0.169
0.251
0.181
0.249
0.204
0.249
0.215
0.230
0.225
0.230
0.237
0.228
0.248
Denoting conductivity by y and temperature by x, fit the linear model y = Bo + Bix + ɛ.
a.
For each coefficient, test the hypothesis that the coefficient is equal to 0.
b. Fit the quadratic model y = Bo + Bix + Bzx? + ɛ. For each coefficient, test the
Page 661
Fit the cubic model y = Bo + Bix + Bx + Bax + ɛ. For each coefficient, test the
%3D
hypothesis that…
Chapter 12 Solutions
WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
Ch. 12.1 - The efficiency ratio for a steel specimen immersed...Ch. 12.1 - The article Exhaust Emissions from Four-Stroke...Ch. 12.1 - Bivariate data often arises from the use of two...Ch. 12.1 - The accompanying data on y = ammonium...Ch. 12.1 - The article Objective Measurement of the...Ch. 12.1 - One factor in the development of tennis elbow, a...Ch. 12.1 - The article Some Field Experience in the Use of an...Ch. 12.1 - Referring to Exercise 7, suppose that the standard...Ch. 12.1 - The flow rate y (m3/min) in a device used for...Ch. 12.1 - Suppose the expected cost of a production run is...
Ch. 12.1 - Suppose that in a certain chemical process the...Ch. 12.2 - Refer back to the data in Exercise 4, in which y =...Ch. 12.2 - The accompanying data on y = ammonium...Ch. 12.2 - Refer to the lank temperature-efficiency ratio...Ch. 12.2 - Values of modulus of elasticity (MOE, the ratio of...Ch. 12.2 - The article Characterization of Highway Runoff in...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - The following data is representative of that...Ch. 12.2 - The bond behavior of reinforcing bars is an...Ch. 12.2 - Wrinkle recovery angle and tensile strength are...Ch. 12.2 - Calcium phosphate cement is gaining increasing...Ch. 12.2 - a. Obtain SSE for the data in Exercise 19 from the...Ch. 12.2 - The invasive diatom species Didymosphenia geminata...Ch. 12.2 - Prob. 25ECh. 12.2 - Show that the point of averages (x,y) lies on the...Ch. 12.2 - Prob. 27ECh. 12.2 - a. Consider the data in Exercise 20. Suppose that...Ch. 12.2 - Consider the following three data sets, in which...Ch. 12.3 - Reconsider the situation described in Exercise 7,...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - Exercise 16 of Section 12.2 gave data on x =...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - For the past decade, rubber powder has been used...Ch. 12.3 - Refer back to the data in Exercise 4, in which y =...Ch. 12.3 - Misi (airborne droplets or aerosols) is generated...Ch. 12.3 - Prob. 37ECh. 12.3 - Refer to the data on x = liberation rate and y =...Ch. 12.3 - Carry out the model utility test using the ANOVA...Ch. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Verify that if each xi is multiplied by a positive...Ch. 12.3 - Prob. 43ECh. 12.4 - Fitting the simple linear regression model to the...Ch. 12.4 - Reconsider the filtration ratemoisture content...Ch. 12.4 - Astringency is the quality in a wine that makes...Ch. 12.4 - The simple linear regression model provides a very...Ch. 12.4 - Prob. 48ECh. 12.4 - You are told that a 95% CI for expected lead...Ch. 12.4 - Prob. 50ECh. 12.4 - Refer to Example 12.12 in which x = test track...Ch. 12.4 - Plasma etching is essential to the fine-line...Ch. 12.4 - Consider the following four intervals based on the...Ch. 12.4 - The height of a patient is useful for a variety of...Ch. 12.4 - Prob. 55ECh. 12.4 - The article Bone Density and Insertion Torque as...Ch. 12.5 - The article Behavioural Effects of Mobile...Ch. 12.5 - The Turbine Oil Oxidation Test (TOST) and the...Ch. 12.5 - Toughness and fibrousness of asparagus are major...Ch. 12.5 - Head movement evaluations are important because...Ch. 12.5 - Prob. 61ECh. 12.5 - Prob. 62ECh. 12.5 - Prob. 63ECh. 12.5 - The accompanying data on x = UV transparency index...Ch. 12.5 - Torsion during hip external rotation and extension...Ch. 12.5 - Prob. 66ECh. 12.5 - Prob. 67ECh. 12 - The appraisal of a warehouse can appear...Ch. 12 - Prob. 69SECh. 12 - Forensic scientists are often interested in making...Ch. 12 - Phenolic compounds are found in the effluents of...Ch. 12 - The SAS output at the bottom of this page is based...Ch. 12 - The presence of hard alloy carbides in high...Ch. 12 - The accompanying data was read from a scatterplot...Ch. 12 - An investigation was carried out to study the...Ch. 12 - Prob. 76SECh. 12 - Open water oil spills can wreak terrible...Ch. 12 - In Section 12.4, we presented a formula for...Ch. 12 - Show that SSE=Syy1Sxy, which gives an alternative...Ch. 12 - Suppose that x and y are positive variables and...Ch. 12 - Let sx and sy denote the sample standard...Ch. 12 - Verify that the t statistic for testing H0: 1 = 0...Ch. 12 - Use the formula for computing SSE to verify that...Ch. 12 - In biofiltration of wastewater, air discharged...Ch. 12 - Normal hatchery processes in aquaculture...Ch. 12 - Prob. 86SECh. 12 - Prob. 87SE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 11 2.5 please help on part five belowarrow_forward11 2.4 please help with 4th partarrow_forwardThe article “n-Nonane Hydroconversion on Ni and Pt Containing HMFI, HMOR and HBEA” (G. Kinger and H. Vinek, Applied Catalysis A: General, 2002:139–149) presents hydroconversion rates (in μmol/g · s) of n-nonane over both HMFI and HBEA catalysts. The results are as follows: HMFI: 0.43 0.93 1.91 2.56 3.72 6.19 11.00 HBEA: 0.73 1.12 1.24 2.93 Can you conclude that the mean rate differs between the two catalysts?arrow_forward
- 11 2.2 helparrow_forwardThe article "Experimental Design Approach for the Optimization of the Separation of Enantiomers in Preparative Liquid Chromatography" (S. Lai and Z. Lin, Separation Science and Technology, 2002: 847–875) describes an experiment involving a chemical process designed to separate enantiomers. A model was fit to estimate the cycle time (y) in terms of the flow rate (x1), sample concentration (x2), and mobile-phase composition (x3). The results of a least-squares fit are presented in the following table. (The article did not provide the value of the t statistic for the constant term.) Predictor Coefficient т Constant 1.603 X1 -0.619 -22.289 0.000 X2 0.086 3.084 0.018 0.306 11.011 0.000 0.272 8.542 0.000 0.057 1.802 0.115 0.105 3.300 0.013 X1X2 -0.022 -0.630 0.549 XXз -0.036 -1.004 0.349 X>Xз 0.036 1.018 0.343 Of the following, which is the best next step in the analysis? i. Nothing needs to be done. This model is fine. Drop x;, x;, and x from the model, and then perform an F test. iii. Drop…arrow_forwardQuestion 1 iid Consider two samples 1, 2, fa with E(X) = µ and finite V(X) iid 91, 92,, yn fy with E(Y) = y and finite V (Y) = 2. Assuming that the two samples are independent, show that -y is consistent estimator for Hr - Hy. ... = o2, andarrow_forward
- 4. Let X denote the vibratory stress (psi) on a wind tur- bine blade at a particular wind speed in a wind tunnel. The article "Blade Fatigue Life Assessment with Application to VAWTS" (J. of Solar Energy Engr., 1982: 107-111) proposes the Rayleigh distribution, with pdf X f(x; 0) = { 0² e-x²/(20²) x>0 0 as a model for the X distribution. a. Verify that f(x; 0) is a legitimate pdf. b. Suppose 0 = 100 (a value suggested by a graph in the article). What is the probability that X is at most 200? Less than 200? At least 200? otherwise c. What is the probability that X is between 100 and 200 (again assuming 0 = 100)? d. Give an expression for P(X ≤ x). 5. A college professor never finishes his lecture before thearrow_forwardThe 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…arrow_forwardPart 2arrow_forward
- please dont copy from googlearrow_forwardQuestion 4.2 The pdf of a continuous random variable is (a ya-1 fy(y) = } 0 < y < 7 7a otherwise Y,, Y2,. Y, are n iid observations of Y. Find L(a) and identify a statistic that is sufficient for a ...arrow_forwardQ3) 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.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Type I and II Errors, Power, Effect Size, Significance and Power Analysis in Quantitative Research; Author: NurseKillam;https://www.youtube.com/watch?v=OWn3Ko1WYTA;License: Standard YouTube License, CC-BY