Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 7.4, Problem 12E
The article “The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products” (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431–440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Below are the concentrations of total esters and total volatile acids (in mg/L) in each of the wines.
- a. Construct a
scatterplot of acid concentration versus ester concentration. Indicate the outlier. - b. Compute the coefficients of the least-squares line for predicting acid level (y) from ester level (x), along with their estimated standard deviations.
- c. Compute the P-value of the test of the null hypothesis H0 : β1 = 0.
- d. Delete the outlier, and recompute the coefficients of the least-squares line, along with their estimated standard deviations.
- e. Compute the P-value of the test of the null hypothesis H0 : β1 = 0 for the data with the outlier deleted.
- f. Does a linear model appear to be useful for predicting acid concentration from ester concentration? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The article “The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products ” (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431– 440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Following are the concentrations of total esters (in mg/L) in each of the wines.
105.14
139.38
144.39
170.41
172.79
173.01
188.72
197.81
215.34
229.55
256.02
284.34
295.24
303.28
312.95
658.38
the 10th , 60th and 90th percentiles are given by (in that order);
Select one:
a.
122.25 , 222.44, 308.11
b.
139.38, 215.34, 312.95
c.
122.26, 242.79, 485.67
d.
141.88, 242.78, 485.66
e.
122.26 , 242.79, 312.95
& The accompanying table gives plasma epinephrine
concentration for ten experimental subjects during
(1) isoflurane, (2) halothane, and (3) cyclopropane
anesthesia ("Sympathoadrenal and Hemodynamic
Effects of Isoflurane, Halothane, and Cyclopropane
in Dogs." Anesthesiology, 1974: 465-470).
a. Does the choice of anesthetic affect true average
concentration? Test H: a, = a, = a, = 0 at
level .05 after constructing the ANOVA table.
%3D
Subject (B)
2
3
4
5
.51 1.00
.39
28
.39
29
Anesthetic
38
.21
2 .30
3 1.07 1.35
.63
(A)
.69
.28 1.24
6.
7
8
10
33
17
.32
.56 1.02
.69
.32
.39
1
.36
Anesthetic
2
.88
51
.42
(A)
3 1.53
49
.30
ΣΣή-13.7980
PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. W. Risebrough, is titled ‘‘Effects of Environmental Pollutants Upon Animals Other Than Man’’ (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). Following is a relative-frequency histogram of the PCB concentration data.
Chapter 7 Solutions
Statistics for Engineers and Scientists
Ch. 7.1 - Compute the correlation coefficient for the...Ch. 7.1 - For each of the following data sets, explain why...Ch. 7.1 - For each of the following scatterplots, state...Ch. 7.1 - True or false, and explain briefly: a. If the...Ch. 7.1 - In a study of ground motion caused by earthquakes,...Ch. 7.1 - A chemical engineer is studying the effect of...Ch. 7.1 - Another chemical engineer is studying the same...Ch. 7.1 - Tire pressure (in kPa) was measured for the right...Ch. 7.1 - Prob. 10ECh. 7.1 - The article Drift in Posturography Systems...
Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - A scatterplot contains four points: (2, 2), (1,...Ch. 7.2 - Each month for several months, the average...Ch. 7.2 - In a study of the relationship between the Brinell...Ch. 7.2 - A least-squares line is fit to a set of points. If...Ch. 7.2 - Prob. 4ECh. 7.2 - In Galtons height data (Figure 7.1, in Section...Ch. 7.2 - In a study relating the degree of warping, in mm....Ch. 7.2 - Moisture content in percent by volume (x) and...Ch. 7.2 - The following table presents shear strengths (in...Ch. 7.2 - Structural engineers use wireless sensor networks...Ch. 7.2 - The article Effect of Environmental Factors on...Ch. 7.2 - An agricultural scientist planted alfalfa on...Ch. 7.2 - Curing times in days (x) and compressive strengths...Ch. 7.2 - Prob. 13ECh. 7.2 - An engineer wants to predict the value for y when...Ch. 7.2 - A simple random sample of 100 men aged 2534...Ch. 7.2 - Prob. 16ECh. 7.3 - A chemical reaction is run 12 times, and the...Ch. 7.3 - Structural engineers use wireless sensor networks...Ch. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - The coefficient of absorption (COA) for a clay...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Three engineers are independently estimating the...Ch. 7.3 - In the skin permeability example (Example 7.17)...Ch. 7.3 - Prob. 12ECh. 7.3 - In a study of copper bars, the relationship...Ch. 7.3 - Prob. 14ECh. 7.3 - In the following MINITAB output, some of the...Ch. 7.3 - Prob. 16ECh. 7.3 - In order to increase the production of gas wells,...Ch. 7.4 - The following output (from MINITAB) is for the...Ch. 7.4 - The processing of raw coal involves washing, in...Ch. 7.4 - To determine the effect of temperature on the...Ch. 7.4 - The depth of wetting of a soil is the depth to...Ch. 7.4 - Good forecasting and control of preconstruction...Ch. 7.4 - The article Drift in Posturography Systems...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - A windmill is used to generate direct current....Ch. 7.4 - Two radon detectors were placed in different...Ch. 7.4 - Prob. 11ECh. 7.4 - The article The Selection of Yeast Strains for the...Ch. 7.4 - Prob. 13ECh. 7.4 - The article Characteristics and Trends of River...Ch. 7.4 - Prob. 15ECh. 7.4 - The article Mechanistic-Empirical Design of...Ch. 7.4 - An engineer wants to determine the spring constant...Ch. 7 - The BeerLambert law relates the absorbance A of a...Ch. 7 - Prob. 2SECh. 7 - Prob. 3SECh. 7 - Refer to Exercise 3. a. Plot the residuals versus...Ch. 7 - Prob. 5SECh. 7 - The article Experimental Measurement of Radiative...Ch. 7 - Prob. 7SECh. 7 - Prob. 8SECh. 7 - Prob. 9SECh. 7 - Prob. 10SECh. 7 - The article Estimating Population Abundance in...Ch. 7 - A materials scientist is experimenting with a new...Ch. 7 - Monitoring the yield of a particular chemical...Ch. 7 - Prob. 14SECh. 7 - Refer to Exercise 14. Someone wants to compute a...Ch. 7 - Prob. 16SECh. 7 - Prob. 17SECh. 7 - Prob. 18SECh. 7 - Prob. 19SECh. 7 - Use Equation (7.34) (page 545) to show that 1=1.Ch. 7 - Use Equation (7.35) (page 545) to show that 0=0.Ch. 7 - Prob. 22SECh. 7 - Use Equation (7.35) (page 545) to derive the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
the type of variable is the response.
Stats: Modeling the World Nasta Edition Grades 9-12
Why is it difficult to define quality?
Introduction to Statistical Quality Control
Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given...
Elementary Statistics Using the TI-83/84 Plus Calculator, Books a la Carte Edition (4th Edition)
UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858...
Statistics: The Art and Science of Learning from Data (4th Edition)
Explain the procedure for obtaining the percentage of all the possible observations that lie within the specifi...
Introductory Statistics (10th Edition)
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
- PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled “Effects of Environmental Pollutants Upon Animals Other Than Man” (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two…arrow_forwardThe article "The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products" (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431-440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Following are the concentrations of total esters (in mg/L) in each of the wines. 284.34 173.01 229.55 312.95 215.34 188.72 144.39 172.79 139.38 197.81 303.28 256.02 658.38 105.14 295.24 170.41 Compute the mean concentration. a. b. Compute the median concentration. Compute the first quartile of the concentrations. C. d. Compute the third quartile of the concentrations. Construct a boxplot for the concentrations. What features does it reveal? e.arrow_forwardThe comparative boxplot (see below) of gasoline vapor coefficients for vehicles in Detroit appeared in the article "Receptor Modeling Approach to VOC Emission Inventory Validation" (J. of Envir. Engr., 1995: 483-490). Discuss any interesting features. Gas vapor coefficient 70 60 50 40 30 20 Time 6A.M. 8A.M. 12noon 2P.M. 10P.M. 10arrow_forward
- Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows I need a step-by-step solution and an explanation. Thank you!arrow_forwardThe article "Estimating Population Abundance in Plant Species with Dormant Life-Stages: Fire and the Endangered Plant Grevillea caleye R Br." (T. Auld and J. Scott, Ecological Management and Restoration, 2004:125-129) presents estimates of population sizes of a certain rare shrub in areas burnt by fire. The following table presents population counts and areas (in m?) for several patches containing the plant. Агеа 3739 Population 3015 5277 1847 400 17 345 392 142 40 7000 2521 213 11958 1200 2878 707 113 1392 157 12000 10880 711 74 2259 223 81 15 33 18 1254 1320 229 351 1000 92 841 1720 1500 300 228 31 228 17 10 Compute the least-squares line for predicting population (y) from area (x). Б. a. Plot the residuals versus the fitted values. Does the model seem appropriate? Compute the least-squares line for predicting In y from In x. Plot the residuals versus the fitted values. Does the model seem appropriate? Using the more appropriate model, construct a 95% prediction interval for the…arrow_forwardConsider the figure shown indicating the results on an experiment growing a marine invertebrate in 4 different environments based on values of 2 factors. Two different temperatures and two different salinities were used. Which of the following best describes the effects of the two factors? A. The effect of low versus high temperature depends on the salinity. B. The effect of low versus high salinity depends on the temperature. C. There is no interaction D. The 2 factors interact synergisticallyarrow_forward
- A study measures the absorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial fabricated-metal parts and are potentially hazardous. The organic chemical solvents are Aromatics, Chloroalkanes and Esters. Aromatics ChloroalkanEsters es 0.95 1.58 0.43 1.15 0.91 0.61 0.82 0.83 0.34 1.05 1.16 0.60 0.57 0.53 1.45 Test if there is a significance difference in the mean absorption rate for the three solvents? Use a = 0.05.arrow_forwardThe 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.arrow_forward1. Soil samples were collected at two areas surrounding an abandoned mine and analyzed for lead. At each area several samples were taken. The soil was extracted with acid, and the extract was analyzed using flame atomic absorption spectrometry. In Area A, Pb concentrations were 1.2, 1.0, 0.9, 1.4 mg/kg. In Area B, Pb concentrations were 0.7, 1.0, 0.5, 0.6, 0.4 mg/kg. Are these two areas significantly different from each other with Pb concentrations at 90% confidence level?arrow_forward
- 14) Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.arrow_forwardMeteoroids. In the article “Interstellar Pelting” (Scientific American, Vol. 288, No. 5, pp. 28–30), G. Musser explained that information on extrasolar planets can be discerned from foreign material and dust found in our solar system. Studies show that 1 in every 100 meteoroids entering Earth’s atmosphere is actually alien matter from outside our solar system. a. Of 300 meteoroids entering the Earth’s atmosphere, how many would you expect to be alien matter from outside our solar system? Justify your answer. b. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, between 2 and 4, inclusive, are alien matter from outside our solar system. c. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, at least 1 is alien matter from outside our solar system.arrow_forwardThe compressive strength of concrete is being studied and four different mixing techniques are being investigated. The following data have been collected. Compressive Strength (psi) 1 3129 3000 2865 2890 Mixing Technique a.) What is the problem? b.) What are the hypotheses? 2 3200 3300 2975 3150 3 2800 2900 2985 3050 4 2600 2700 2600 2765 Test the hypothesis that mixing techniques affect the strength of the concrete. Use a = 0.05. c.) Using EXCEL, provide a screenshot of the results. d.) Conclusionarrow_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 Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License