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
Question
Chapter 8, Problem 19SE
a.
To determine
Obtain a quadratic model
b.
To determine
Estimate the time at which the reaction rate will be equal to 0.05.
c.
To determine
Find the 95% confidence interval for the reaction rate at
d.
To determine
Explain whether it is possible to conclude that the reaction rate is decreasing with time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride
Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14)
discusses an investigation of leaching rates of lead in solutions of magnesium chloride. The
data in the following table (read from a graph) present the percentage of lead that has been
extracted at various times (in minutes).
Time (t)
4 8 16 30 60 120
Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4
a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit
this model, and compute the standard deviations of the coefficients.
b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the
time at which the reaction rate will be equal to 0.05.
c. The reaction rate at t = Oisequal to B1. Find a 95% confidence interval for the reaction
rate at t = 0.
d. Can you conclude that the reaction rate is decreasing with time? Explain.
A sociologist wants to determine if the life expectancy of people in Africa is less than
the life expectancy of people in Asia. The data obtained is shown in the table below.
Africa
Asia
= 63.3 yr.
1
X,=65.2 yr.
2
o, = 9.1 yr.
= 7.3 yr.
n1
= 120
= 150
C-4) The concentration of active ingredient in a liquid laundry detergent is thought
to be affected by the type of catalyst used in the process. Ten observations on
concentration are taken with each catalyst, and the data follow: Catalyst 1: 57.9,
66.2. 65.4, 65.4, 65.2. 62.6, 67.6, 63.7, 67.2. 71.0 Catalyst 2: 66.4. 71.7. 70.3. 69.3, 64.8,
69.6, 68.6, 69.4, 65.3, 68.8. Find a 95% confidence interval on the ratio of active
concentrations for the two catalysts, and explain it.
Chapter 8 Solutions
Statistics for Engineers and Scientists
Ch. 8.1 - In an experiment to determine the factors...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - The article Application of Analysis of Variance to...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Refer to Exercise 7. a. Find a 95% confidence...Ch. 8.1 - In a study of the lung function of children, the...Ch. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - The following MINITAB output is for a multiple...Ch. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - The following data were collected in an experiment...Ch. 8.1 - The November 24, 2001, issue of The Economist...Ch. 8.1 - The article Multiple Linear Regression for Lake...Ch. 8.1 - Prob. 19ECh. 8.2 - In an experiment to determine factors related to...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.3 - True or false: a. For any set of data, there is...Ch. 8.3 - The article Experimental Design Approach for the...Ch. 8.3 - Prob. 3ECh. 8.3 - An engineer measures a dependent variable y and...Ch. 8.3 - Prob. 5ECh. 8.3 - The following MINITAB output is for a best subsets...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - (Continues Exercise 7 in Section 8.1.) To try to...Ch. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - The article Ultimate Load Analysis of Plate...Ch. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - The article Modeling Resilient Modulus and...Ch. 8.3 - The article Models for Assessing Hoisting Times of...Ch. 8 - The article Advances in Oxygen Equivalence...Ch. 8 - Prob. 2SECh. 8 - Prob. 3SECh. 8 - Prob. 4SECh. 8 - In a simulation of 30 mobile computer networks,...Ch. 8 - The data in Table SE6 (page 649) consist of yield...Ch. 8 - Prob. 7SECh. 8 - Prob. 8SECh. 8 - Refer to Exercise 2 in Section 8.2. a. Using each...Ch. 8 - Prob. 10SECh. 8 - The data presented in the following table give the...Ch. 8 - The article Enthalpies and Entropies of Transfer...Ch. 8 - Prob. 13SECh. 8 - Prob. 14SECh. 8 - The article Measurements of the Thermal...Ch. 8 - The article Electrical Impedance Variation with...Ch. 8 - The article Groundwater Electromagnetic Imaging in...Ch. 8 - Prob. 18SECh. 8 - Prob. 19SECh. 8 - Prob. 20SECh. 8 - Prob. 21SECh. 8 - Prob. 22SECh. 8 - The article Estimating Resource Requirements at...Ch. 8 - Prob. 24SE
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
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardThe article "Characteristics and Trends of River Discharge into Hudson, James, and Ungava Bays, 1964-2000" (S. Dery, M. Stieglitz, et al., Journal of Climate, 2005:2540-2557) presents measurements of discharge rate x (in kmlyr) andpeakflow y (in m/s) for 42 rivers that drain into the Hudson, James, and Ungava Bays. The data are shown in the following table: Discharge Peak Flow 94.24 4110.3 66.57 4961.7 59.79 10275.5 48.52 6616.9 40.00 7459.5 32.30 2784.4 31.20 3266.7 30.69 4368.7 26.65 1328.5 22.75 4437.6 21.20 1983.0 20.57 1320.1 19.77 1735.7 18.62 1944.1 17.96 3420.2 17.84 2655.3 16.06 3470.3 1561.6 14.69 11.63 869.8 11.19 936.8 11.08 1315.7 10.92 1727.1 9.94 768.1 7.86 483.3arrow_forwardOne operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…arrow_forward
- Examine the following figure, which displays hypothetical measurements of a sample of individuals from three groups. The horizontal axis represents three groups: A, B, and C. The vertical axis represents measurements from 0.0 to 10.0 with an interval of 2.5. The approximate data from graph are as follows: For group A, majority of measurements lie between 1 to 5 with widest bulge at 2 point 7. For group B, majority of measurements lie between 1 and 6 with the widest bulge at 2 point 5. For group C, majority of measurements lie between 2 point 5 and 7 with the widest bulge at 6 point 5. A) In which of the groups is the frequency distribution of measurements approximately symmetric? B) Which of the frequency distributions show negative skew? C) Which of the frequency distributions show positive skew?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_forwardReview Assignment #6 2021 - AP Statistics, section 4BI WebAssign webassign.net Rapio dentity Repidioantity 9. [-/1 Points] DETAILS YMSSTAT2 12.E.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 67% of Italians can taste PTC, for example. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. Starting with the 67% estimate for Italians, how large a sample must you test in order to estimate the proportion of PTC tasters within + 0.03 with 99% confidence? 10. [-/3 Points] DETAILS YMSSTAT212.E.014. ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES An experiment on the side effects of pain relievers assigned arthritis patients to one of several over-the-counter pain medications. Of the 475 patients who took one brand of pain reliever, 24 suffered some "adverse symptom." Does the experiment provide strong…arrow_forward
- rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…arrow_forwardSamples are collected from the River X and pH values are observed. 9 different pH values are listed in table 3. Table 3 Concentrations 4.2 Draw box plot and find a. Bowley's coefficient of skewness b. Karl Pearson's coefficient of skewness c. Third moment 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0arrow_forwardA study was conducted in the tidal flat at Polka Point, North Stradbroke Island to examine the distribution of the animals that live with the seagrass Sargassum at different distances from the shoreline. Samples of Sargassum were taken at 5, 10, 15 m from the shore and these were examined for amphipods and isopods. The observations are recorded below. Is the distribution of each of the organisms with regards to the shore the same at all three distances? Use the data below to test the hypothesis at the p < 0.05 level. Clearly state the hypotheses and interpret the results. (Note: Find chi-square for each individual column (amphipods and isopods, not the two together) Distance Amphipods Isopods 5 2 7 10 31 14 15 45 22arrow_forward
- Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a time period. Table #4.2.2 gives the defect and the number of defects. Table #4.2.2: Number of Defective Lenses Defect type Number of defects Scratch 5865 Right shaped – small 4613 Flaked 1992 Wrong axis 1838 Chamfer wrong 1596 Crazing, cracks 1546 Wrong shape 1485 Wrong PD 1398 Spots and bubbles 1371 Wrong height 1130 Right shape – big 1105 Lost in lab 976 Spots/bubble – intern 976 Find the probability of picking a lens that is scratched or flaked. Find the probability of picking a lens that is the wrong PD or was lost in lab. Find the probability of picking a lens that is not scratched. Find the probability of picking a lens that is not the wrong shape.arrow_forwardPlease use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in Journal of Food Science (2001, Vol. 66, No. 3, pp. 472-477) studied potato spoilage based on different conditions of acidified oxine (AO), which is a mixture of chlorite and chlorine dioxide. The data are shown below: AO Solution (ppm) % Spoilage 50 100 50 60 100 60 30 30 200 60 50 29 400 25 30 15 (a) Do the AO solutions differ in the spoilage percentage? Use a = 0.05. There is for significant differences in the spoilage percentage when using different AO solutions. (b) Find the P-value of the test. Estimate the variability due to random error. P-value = i (Round your answer to three decimal places.) MSE = i . (Round your answer to the nearest integer.) (c) Plot average spoilage against AO solution and interpret the results. Which AO solution would you recommend for use in practice? AO solution will be used. (d) Analyze the residual plots to determine…arrow_forward5.1 Application: Yo. e Here is data for the amount of fat (in grams) for McDonald's chicken sandwiches: Sandwich McChicken Ⓒ Premium Grilled Chicken Classic Sandwich Premium Crispy Chicken Classic Sandwich Premium Grilled Chicken Club Sandwich Premium Crispy Chicken Club Sandwich Premium Grilled Chicken Ranch BLT Sandwich Premium Crispy Chicken Ranch BLT Sandwich Southern Style Crispy Chicken Sandwich Ranch Snack Wrap (Crispy) Ranch Snack Wrap (Grilled) Honey Mustard Snack Wrap (Crispy). Honey Mustard Snack Wrap (Grilled) Chipotle BBQ Snack Wrap (Crispy) Chipotle BBQ Snack Wrap (Grilled) Find the median and IQR. M = type your answer... IQR= type your answer... C 54 do 5 % Fat 16 g 10 g 20 g 17 g 28 g 12 g 23 g 17 g 17 g 10 g 16 g 99 15 g 99 A 6 g g DELL & 7 O 8 O ( 9 % ) 0arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
What Are Research Ethics?; Author: HighSchoolScience101;https://www.youtube.com/watch?v=nX4c3V23DZI;License: Standard YouTube License, CC-BY
What is Ethics in Research - ethics in research (research ethics); Author: Chee-Onn Leong;https://www.youtube.com/watch?v=W8Vk0sXtMGU;License: Standard YouTube License, CC-BY