Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9.3, Problem 16E
The article referred to in Exercise 15 also presents measurements of Young’s modulus for side members of T-braced assemblies. The following table presents data in which the factors are the length of the side member and its method of attachment. There were 10 replications for each combination of factors. The data (in kN/mm2) are consistent with the means and standard deviations given in the article.
Attachment | Length | Young’s Modulus | |||||||||
Adhesive | Quarter | 9.56 | 10.67 | 8.82 | 8.40 | 9.23 | 8.20 | 1023 | 9.58 | 7.57 | 8.05 |
Adhesive | Half | 8.74 | 9.24 | 10.77 | 9.10 | 8.08 | 11.14 | 10.00 | 9.17 | 9.79 | 8.13 |
Adhesive | Full | 9.84 | 9.80 | 8.31 | 7.37 | 10.12 | 9.18 | 8.93 | 8.65 | 7.89 | 9.07 |
Nail | Quarter | 10.24 | 9.38 | 9.38 | 7.48 | 9.23 | 9.64 | 8.45 | 8.12 | 8.86 | 8.07 |
Nail | Half | 9.84 | 9.34 | 9.64 | 8.21 | 10.43 | 9.48 | 7.46 | 9.51 | 10.20 | 9.66 |
Nail | Full | 7.96 | 8.32 | 8.73 | 9.37 | 9.12 | 7.98 | 9.84 | 8.89 | 10.10 | 8.07 |
- a. Compute all main effects and interactions.
- b. Construct an A NOVA table. You may give
ranges for the P-values. - c. Is the additive model plausible? Provide the value of a test statistic and the P-value.
- d. Can the effect of attachment method (nail versus adhesive) on Young’s modulus be described by interpreting the main effects of attachment method? If so, interpret the main effects. If not, explain why not.
- e. Can the effect of side member length on Young’s modulus be described by interpreting the main effects of side member length? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Evans conducted a study to determine if the frequency and characteristics of pediatric problems in elderly patients with diabetes present differences with respect to patients of the same age, but without diabetes. The individuals studied, interned in a clinic, were between 70 and 90 years old. Among the researchers' findings are the following statistics. with respect to the scores on the deep tendon reflexes meters:Sample without Diabetes: 79 / 2.1 / 1.1With Diabetes: 74 / 1.6 / 1.2Is it possible to conclude, based on the data, that, on average, diabetic patients they have reduced deep tendon reflexes in comparison with patients without diabetes of the same age?
The data given below are measurements (in micrometer units) of the thorax length of the aphid, Pemphigus populitransversus. The aphids were collected in 6 galls on the cottonwood, Populus deltoides. Four alate (winged) aphids were randomly selected from each gall and measured. The alate aphids of each gall are mostly isogenic (identical twins), being decended parthenogenetically from one stem mother. Thus, any variance within galls should be due to environment only. Variance among different galls may be due to differences in genotype and also to environmental differences among galls. Do a one-way ANOVA to test whether there significant intergall variance.
Gall No.
Replicate No.
1
2
3
4
5
6
1
4.4
5.7
6.2
5.1
6.1
6.2
2
4.9
5.1
5.1
6
6
6.2
3
4.7
5.8
6.1
5.8
5.7
5.3
4
4.8
5.5
5.3
5.9
6
6.3
Average
4.70
5.53
5.68
5.70
5.95
6.00
I am having a hard time wording my Ho and Ha, as well as finding ts, df, and P. How do I do this using excel?
The spike stature of the plants grown from the seeds of the porcine separates (Dactylis glomerata L) collected from the University campus and İbradı Eynif pasture are given below. In this plant, compare whether there is a difference between regions in terms of spike height.
Virgo Height (cm)
Data obtained from plants collected from university campus
5 6 8 7 8 6 5 5 4 6 6
Data obtained from plants collected from Eynif pasture
12 9 11 9 9 11 9 10 11 10
Note: Your results
interpretation according to two different possibilities
(Do it separately, assuming that it is 0.07 and 0.04).
Chapter 9 Solutions
Statistics for Engineers and Scientists
Ch. 9.1 - A study is made of the effect of curing...Ch. 9.1 - The article Nutrient Deprivation Improves Field...Ch. 9.1 - Prob. 3ECh. 9.1 - The antibiotic gentamicin sulphate is often...Ch. 9.1 - The article influence of Age on Masonry Bond...Ch. 9.1 - Archaeologists can determine the diets of ancient...Ch. 9.1 - The article Secretion of Parathyroid Hormone...Ch. 9.1 - The article Impact of Free Calcium Oxide Content...Ch. 9.1 - A certain chemical reaction was run three times at...Ch. 9.1 - An experiment to compare the lifetimes of four...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Refer to Exercise 12. a. Compute the quantity...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - The following MINITAB output presents a power...Ch. 9.2 - Exercises for Section 9.2 1.The article Organic...Ch. 9.2 - The article Optimum Design of an A-pillar Trim...Ch. 9.2 - Prob. 3ECh. 9.2 - Refer to Exercise 2 in Section 9.1. a.Use the...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 1 in Section 9.1. A scientist...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. A...Ch. 9.2 - Refer to Exercise 3 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 5 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 9 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 16 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 18 in Section 9.1. a. Use the...Ch. 9.2 - In an experiment to determine the effect of...Ch. 9.2 - In an experiment to determine the effect of curing...Ch. 9.2 - Prob. 15ECh. 9.2 - For some data sets, the F statistic will reject...Ch. 9.3 - To assess the effect of piston ring type and oil...Ch. 9.3 - A machine shop has three machines used in...Ch. 9.3 - An experiment to determine the effect of mold...Ch. 9.3 - The effect of curing pressure on bond strength was...Ch. 9.3 - The article Change in Creep Behavior of Plexiform...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Adding glass panicles to clay brick may improve...Ch. 9.3 - The article Application of Radial Basis Function...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - The article Anodic Fenton Treatment of Treflan MTF...Ch. 9.3 - Refer to Exercise 12. The treatments with a...Ch. 9.3 - The article Use of Taguchi Methods and Multiple...Ch. 9.3 - The article T-Bracing for Stability of Compression...Ch. 9.3 - The article referred to in Exercise 15 also...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - The article Cellulose Acetate Microspheres...Ch. 9.4 - Recycling newsprint is important in reducing...Ch. 9.4 - A study was done to see which of four machines is...Ch. 9.4 - Prob. 3ECh. 9.4 - Three different corrosion-resistant coatings are...Ch. 9.4 - The article Genotype-Environment Interactions and...Ch. 9.4 - The article Sprinkler Technologies, Soil...Ch. 9.4 - The article Bromate Surveys in French Drinking...Ch. 9.4 - The article Multi-objective Scheduling Problems:...Ch. 9.4 - You have been given the task of designing a study...Ch. 9.4 - An engineering professor wants to determine which...Ch. 9.5 - Prob. 1ECh. 9.5 - Give an example of a factorial experiment in which...Ch. 9.5 - Prob. 3ECh. 9.5 - The article Efficient Pyruvate Production by a...Ch. 9.5 - The article cited in Exercise 4 also investigated...Ch. 9.5 - A metal casting process for the production of...Ch. 9.5 - The article An Investigation into the Ball...Ch. 9.5 - In a 2p design with one replicate per treatment,...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - The article Factorial Design for Column Rotation...Ch. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9 - The article Gypsum Effect on the Aggregate Size...Ch. 9 - Prob. 2SECh. 9 - Prob. 3SECh. 9 - Prob. 4SECh. 9 - Prob. 5SECh. 9 - Prob. 6SECh. 9 - Prob. 7SECh. 9 - The article Case Study Based Instruction of DOE...Ch. 9 - The article Combined Analysis of Real-Time...Ch. 9 - Vermont maple sugar producers sponsored a testing...Ch. 9 - Prob. 11SECh. 9 - Prob. 12SECh. 9 - Prob. 13SECh. 9 - The article Enthalpies and Entropies of Transfer...Ch. 9 - Prob. 15SECh. 9 - Prob. 16SECh. 9 - The article Factorial Experiments in the...Ch. 9 - The Williamsburg Bridge is a suspension bridge...Ch. 9 - Prob. 19SECh. 9 - In the article Nitrate Contamination of Alluvial...Ch. 9 - The article Factorial Experiments in the...Ch. 9 - Prob. 22SECh. 9 - Prob. 23SECh. 9 - Prob. 24SE
Additional Math Textbook Solutions
Find more solutions based on key concepts
AVX Home Entertainment, Inc., recently began a “no-hassles” return policy. A sample of 500 customers who recent...
EBK STATISTICAL TECHNIQUES IN BUSINESS
To explain would this correlation increase, decrease or not change much if we remove the elephants.
Statistics Through Applications
The data in Table 1A were collected from one of the authors’ statistics classes. The first row gives the variab...
Introductory Statistics
In Exercises 5-36, express all probabilities as fractions.
23. Combination Lock The typical combination lock us...
Essentials of Statistics, Books a la Carte Edition (5th Edition)
In a test of the quality of two television commercials, each commercial was shown in a separate test area six t...
Statistics for Business & Economics, Revised (MindTap Course List)
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 data given below are measurements (in micrometer units) of the thorax length of the aphid, Pemphigus populitransversus. The aphids were collected in 6 galls on the cottonwood, Populus deltoides. Four alate (winged) aphids were randomly selected from each gall and measured. The alate aphids of each gall are mostly isogenic (identical twins), being decended parthenogenetically from one stem mother. Thus, any variance within galls should be due to environment only. Variance among different galls may be due to differences in genotype and also to environmental differences among galls. Do a one-way ANOVA to test whether there significant intergall variance. Gall No. Replicate No. 1 2 3 4 5 6 1 4.4 5.7 6.2 5.1 6.1 6.2 2 4.9 5.1 5.1 6 6 6.2 3 4.7 5.8 6.1 5.8 5.7 5.3 4 4.8 5.5 5.3 5.9 6 6.3 Average 4.70 5.53 5.68 5.70 5.95 6.00 Ho: Ha: T stat: df: P: Conclusion relative to hypothesisarrow_forwardPlease show me your solutions and interpretations. Show the completehypothesis-testing procedure.A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than 0.001 cm2. The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values:1.69 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65Assume bearing diameters are normally distributed. Use the data and α = 0.025 to test the data to determine whether the population of these bearings is to be rejected because of too high variance.arrow_forwardIn a summary report given by Ing. Pobbi on the lengths of ironrods produced by two machines, he stated that the variability ofmachine A was higher compared to that of machine B. Critiquethe report of the Engineer given data on the length of rodsproduced given as; MachineA(cm): 380 410 280 310 305 360 270 355 400 Machine B(m): 1.1 1.3 1.2 2.0 1.5 1.6 1.4 1.6 1.7arrow_forward
- The amount of chlorine in 100 cm3 water taken from a water tank was measured, the average was 2.15 mg was found. The expert claims that the amount of chlorine in the water is greater than that measured. For this reason, 100 households were randomly selected, with an average chlorine content of 2.55mg and a variance of 0.49 mg. According to this data, find the account value z. A) -5,71 B) 8,15 C) 0,54 D) 5,71 E) -8,15arrow_forward2. Find the quartiles for these data values: 5, 7, 7, 8, 10, 11, 12, 15, 17 OAQ₁ 7.Q₂ Q2 OB. Q₁ 7.Q₂ = 10.Q3 - 13.5 = Oc. Q₁ = 6, Q2 = 9, Q3 = 12 OD. Q₁ 7.5. Q₂ [Am] ( = 11. Q3 = 15 10.5 Q3 = 13.5arrow_forwardCheek teeth of extinct primates. The characteristics of cheek teeth (e.g., molars) can provide anthropologists with information on the dietary habits of extinct mammals. The cheek teeth of an extinct primate species were the subject of research reported in the American Journal of Physical Anthropology (Vol. 142, 2010). A total of 18 cheek teeth extracted from skulls discovered in western Wyoming were analyzed. Researchers recorded the dentary depth of molars (in millimeters) for a sample of 18 cheek teeth extracted from skulls. These depth measurements are listed in the accompanying table. Anthropologists know that the mean dentary depth of molars in an extinct primate species— called Species A—is 15 millimeters. Is there evidence to indicate that the sample of 18 cheek teeth come from some other extinct primate species (i.e., some species other than Species A)? The data are given below (you will need to put it into a single column). You will need to calculate the sample…arrow_forward
- A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters. Mean width: 7.555 Stdev width: 0.914 Mean height: 12.686 Stdev height: 1.634 Correlation coefficient: 0.8203 d) If the students are interested in using the height of the beans to predict the width, calculate the slope of this new regression equation. e) Write the equation of the best-fit line that can be used to predict bean widths. Use x to represent height and y to represent width.arrow_forwardAfter inspecting all of the 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled. Parameter or Statistic?arrow_forwardFoot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 181 diabetic patients. The results are presented in the following table. Left Foot Right Foot 80 80 85 85 75 80 88 86 89 87 87 82 78 78 88 89 89 90 76 81 89 86 87 82 78 78 80 81 87 82 86 85 76 80 88 89 Construct a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature. If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Predict the right foot temperature for a patient whose left…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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