Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 11.3, Problem 29E
a.
To determine
Construct the ANOVA table and test for significance of the factors and interactions at 1% level.
b.
To determine
Plot the interaction effects and identify whether it is consistent with the results obtained in part (a).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The article "Effect of Refrigeration on the Potassium Bitartrate Stability and Composition
of Italian Wines" (A. Versari, D. Barbanti, et al., Italian Journal of Food Science, 2002:45-
52) reports a study in which eight types of white wine had their tartaric acid concentration
(in g/L) measured both before and after a cold stabilization process. The results are
presented in the following table:
Wine Type
Before
After
Difference
2.86
2.59
0.27
2.85
2.47
0.38
3
1.84
1.58
0.26
4
1.60
1.56
0.04
0.80
0.78
0.02
6.
0.89
0.66
0.23
2.03
1.87
0.16
1.90
1.71
0.19
Find a 95% confidence interval for the mean difference between the tartaric acid
concentrations before and after the cold stabilization process.
The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help
prevent infection following joint replacement surgery. The article "Incorporation of Large
Amounts of Gentamicin Sulphate Into Acrylic Bone Cement: Effect on Handling and
Mechanical Properties, Antibiotic Release, and Biofilm Formation" (N. Dunne, P. MCAfee,
et al., Journal of Engineering in Medicine, 2008:355-365) presents a study of the effect of
the amount of antibiotic added on various properties of the cement. Following are
measurements of the setting time of the cement, for six levels of antibiotic amount, and
three replications per level. The measurements are consistent with means and standard
deviations presented in the article.
Antibiotic per 40 g Cement
Setting Time (min)
0g
0.58
1g
12.7
14.1
13.2
13.5
14.5
14.6
12.7
13.4
13.2
12.7
13.6
14.1
13.4
13.5
14.3
14.5
13.5
14.9
Construct an ANOVA table. You may give a range for the P-value.
Can you conclude that there are differences among the mean…
Recycling newsprint is important in reducing waste. The article "The Influence of
Newspaper Aging on Optical Properties of its De-inked Pulp" (M. Rahmaninia, A. Latibari,
et al., Turkish J Eng Env Sci, 2008:35-39) presents the results of an experiment to
determine the effects of the age of newsprint on the brightness (in percent) of the recycled
paper. Four aging periods were considered, along with five concentrations of sodium
hydroxide (NaOH), used to de-ink the paper. The effect of the sodium hydroxide
concentration is not of interest. The results are presented in the following table.
NaOH Concentration
Age (Months)
2%
0%
0.5%
1%
1.5%
54.6
54.3
55.5
56.3
56.6
4
45.6
44.1
43.7
45.6
47.1
46.1
45.9
46.4
45.0
47.9
12
44.0
44.1
45.2
43.7
46.5
a. Identify the blocking factor and the treatment factor.
b. Construct an ANOVA table. You may give ranges for the P-values.
Can you conclude that brightness differs with age? Explain.
C.
d.
Which pairs of ages, if any, can you conclude to have…
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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
- The article “Differences in Susceptibilities of Different Cell Lines to Bilirubin Damage” (K. Ngai, C. Yeung, and C. Leung, Journal of Paediatric Child Health, 2000:36–45) reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 10 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 10 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Find a 98% confidence interval for the difference in survival percentages between the two cell lines.arrow_forwardOpen water oil spills, such as the Deepwater Horizon spill of 2010, can wreak terrible consequences on the environment and be expensive to clean up. Many physical and biological methods have been developed to recover oil from water surfaces. In the article “Capacity of Straw for Repeated Binding of Crude Oil from Salt Water and Its Effect on Biodegradation” (J. Hazard. Toxic Radioact. Waste, 2012: 75–78), researchers examined how wheat straw could be used to extract crude oil from a water surface. An experiment was conducted in which crude oil (0 to 16.9 g) was added to 100 mL of saltwater in separate Petri dishes. Wheat straw (2 g) was then added to each dish and all dishes were shaken at 70 rpm overnight. The following data read from a graph is based on the amount of oil added (in g) and the corresponding amount of oil recovered (in g) from wheat straw. a. For each observation, determine the percentage of oil recovery by wheat straw. Is this percentage relatively…arrow_forwardThe article “Treadmill Exercise and Resistance Training in Patients With Peripheral Arterial Disease With and Without Intermittent Claudication. A Randomized Controlled Trial” (M. McDermott, P. Ades, et al., Journal of the American Medical Association, 2009:165–174) reported the results of a study to determine whether treadmill exercise could improve the walking ability of patients suffering from claudication, which is pain caused by insufficient blood flow to the muscles of the legs. A sample of 48 patients walked on a treadmill for six minutes every day. After six months, the mean distance walked in six minutes was 348 meters, with a standard deviation of 80 m. For a control group of 46 patients who did not walk on a treadmill, the mean distance was 309 m with a standard deviation of 89 m. Can you conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls? Use the α = 0.05 level of significance.arrow_forward
- 27. Lower Limb Surgery. The study "Intrathecal Sufentanil ver- sus Fentanyl for Lower Limb Surgeries- A Randomized Controlled Trial" (Journal of Anaesthesiology Clinical Pharmacology, Vol. 27, Issue 1, pp. 67-73) by P. Motiani et al. compares two different agents, intrathecal sufentail and fentanyl, used in enhancing the anesthesiol- ogy of patients receiving major lower limb surgery. One variable com- pared between the two agents was the amount of blood loss during the surgery. Based on the study, we will assume that, using fentanyl, the amount of blood loss during major lower limb surgery is normally distributed with mean 283.3 ml and standard deviation 83.3 ml. Find the percentage of patients whose amount of blood loss during major lower limb surgery using fentanyl is a. less than 304 ml. b. between 221 and 429 ml. c. more than 450 ml.arrow_forwardCortisol is a hormone that plays an important role in mediating stress. There is a growing awareness that exposure of outdoor workers to pollutants may impact cortisol levels. The article "Plasma Cortisol Concentration and Lifestyle in a Population of Outdoor Workers" (International Journal of Environmental Health Res., 2011: 62-71) reported on a study involving three groups of police officers: 1. Traffic Police (TP) 2. Drivers (D) 3. Other Duties (0) Here is summary data on cortisol concentration (ng/ml) for a subset of the officers who neither drank nor smoked. Group Sample Size Mean SD TP 174.7 50.9 160.2 37.2 153.5 45.9 44 44 44 Assuming that the standard assumptions for one-way ANOVA are satisfied, carry out a test at significance level 0.05 to decide whether the true average cortisol concentration is different for the three groups. If any differences exist, state which groups are different.arrow_forwardThe paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in the table. 'Before' 'After' 22.86 6.11 7.74 -4.02 15.49 8.04 9.97 3.29 1.44 -0.77 9.39 6.99 11.4 10.19 1.86 2.09 -6.71 11.4 6.42 10.7 a) Write the null and alternate hypotheses What test will be used to test the hypothesis and what assumptions are required? test them. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?arrow_forward
- The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in data 3. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment? data 3 'Before' 'After'22.86 6.117.74 -4.0215.49 8.049.97 3.291.44 -0.779.39 6.9911.4 10.191.86 2.09-6.71 11.46.42 10.7arrow_forwardLow-Birth-Weight Hospital Stays. Data on low-birthweight babies were collected over a 2-year period by 14 participating centers of the National Institute of Child Health and Human Development Neonatal Research Network. Results were reported by J. Lemons et al. in the on-line paper “Very Low Birth Weight Outcomes of the National Institute of ChildHealth and Human Development Neonatal Research Network” (Pediatrics, Vol. 107, No. 1, p. e1). For the 1084 surviving babies whose birth weights were 751– 1000 grams, the average length of stay in the hospital was 86 days, although one center had an average of 66 days and another had an average of 108 days. a. Can the mean lengths of stay be considered population means? Explain your answer.b. Assuming that the population standard deviation is 12 days, determine the z-score for a baby’s length of stay of 86 days at the center where the mean was 66 days.c. Assuming that the population standard deviation is 12 days, determine the z-score for a…arrow_forwardAngioplasty is a medical procedure in which an obstructed blood vessel is widened. In some cases, a wire mesh tube, called a stent, is placed in the vessel to help it remain open. The article “Long-term Outcomes of Patients Receiving Drug-eluting Stents” (A. Philpott, D. Southern, et al., Canadian Medical Association Journal, 2009:167–174) presents the results of a study comparing the effectiveness of a bare metal stent with one that that has been coated with a drug designed to prevent reblocking of the vessel. A total of 5320 patients received bare metal stents, and of these, 841 needed treatment for reblocking within a year. A total of 1120 received drug coated stents, and 134 of them required treatment within a year. a) Find a 98% confidence interval for the differences between the proportions for drug coated stents and bare metal stents. b) Suppose that additional patients are to be treated in order to increase the precision of the confidence interval. Three sampling plans are…arrow_forward
- The article "Improved Bioequivalence Assessment of Topical Dermatological Drug Products Using Dermatopharmacokinetics" (B. N’Dri-Stempfer, W. Navidi, R. Guy, and A. Bunge, Pharmaceutical Research, 2009:316–328) described a study comparing the amounts of econozole nitrate absorbed into human skin for several formulations of antifungal ointment. Both a brand name and generic drug were applied to the arms of 14 subjects, and the amounts absorbed, in ug/cm², were measured. Following are the results. Can you conclude that the mean amount absorbed differs between the brand name and the generic drug? Brand Name Generic Difference 2.23 1.42 0.81 1.68 1.95 -0.27 1.96 2.58 -0.62 2.81 2.25 0.56 1.14 1.21 -0.07 3.20 3.01 0.19 2.33 2.76 -0.43 4.06 3.65 0.41 2.92 2.89 0.03 2.92 2.85 0.07 2.83 2.44 0.39 3.45 3.11 0.34 2.72 2.64 0.08 3.74 2.82 0.92arrow_forward1.“Effects of Short-Term Supplementation with Selenised Yeast on Milk Production and Composition of Lactating Cows”(Australian Journal of Dairy Technology, [2004]: 199-203) supplied the following data on milk selenium concentration (mg/L) for a sample of cows given seleniumsupplement (the treatment group) and a sample of cows given no supplement (the control group). The measurements of selenium were taken initally and again after a 9-day period. The study was conducted becausea deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The production of selenium supplements to dairy cows is justified when pastures have low selenium levels. data is attached a.Use the given data for the treatment group to determine if there is sufficient evidenceto conclude that the mean selenium concentration is greater after 9 days of the selenium supplement. b.Are the data for the cows in…arrow_forwardThe article “Effects of Diets with Whole Plant-Origin Proteins Added with Different Ratiosof Taurine:Methionine on the Growth, Macrophage Activity and Antioxidant Capacity ofRainbow Trout (Oncorhynchus mykiss) Fingerlings” (O. Hernandez, L. Hernandez, et al.,Veterinary and Animal Science, 2017:4-9) reports that a sample of 210 juvenile rainbowtrout fed a diet fortified with equal amounts of the amino acids taurine and methionine for aperiod of 70 days had a mean weight gain of 313 percent with a standard deviation of 25, while 210 fish fed with a control diet had a mean weight gain of 233 percent with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets.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
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY