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 6.10, Problem 2E
At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer
to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content
(B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and
the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The
data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
I+I+I+I+Oooo
0
0
||++TI++o000
33.2
4.6
31.2
9.6
40.6
162.4
39.4
158.6
63.4
62.6
58.7
0
0
60.9
3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
Stem1: 1,4
Stem 2: 2,4,8
Stem3: 2,4
Stem4: 0,1,6,8
Stem5: 0,1,2,3,9
Stem 6: 2,2
What’s the Min,Q1, Med,Q3,Max?
Chapter 6 Solutions
Statistics for Engineers and Scientists
Ch. 6.1 - In an experiment to measure the lifetimes of parts...Ch. 6.1 - A simple random sample consists of 65 lengths of...Ch. 6.1 - The article Supply Voltage Quality in Low-Voltage...Ch. 6.1 - The pH of an acid solution used to etch aluminum...Ch. 6.1 - Recently many companies have been experimenting...Ch. 6.1 - A certain type of stainless steel powder is...Ch. 6.1 - When it is operating properly, a chemical plant...Ch. 6.1 - Lasers can provide highly accurate measurements of...Ch. 6.1 - The article Predicting Profit Performance for...Ch. 6.1 - A new concrete mix is being designed to provide...
Ch. 6.1 - Fill in the blank: If the null hypothesis is H0: ...Ch. 6.1 - Fill in the blank: In a test of H0: 10 versus...Ch. 6.1 - An engineer takes a large number of independent...Ch. 6.1 - The following MINITAB output presents the results...Ch. 6.1 - The following MINITAB output presents the results...Ch. 6.2 - For which P-value is the null hypothesis more...Ch. 6.2 - Prob. 2ECh. 6.2 - If P = 0.01, which is the best conclusion? i. H0...Ch. 6.2 - If P = 0.50, which is the best conclusion? i. H0...Ch. 6.2 - True or false: If P = 0.02, then a. The result is...Ch. 6.2 - George performed a hypothesis test. Luis checked...Ch. 6.2 - The article The Effect of Restricting Opening...Ch. 6.2 - Let be the radiation level to which a radiation...Ch. 6.2 - In each of the following situations, state the...Ch. 6.2 - The installation of a radon abatement device is...Ch. 6.2 - It is desired to check the calibration of a scale...Ch. 6.2 - A machine that fills cereal boxes is supposed to...Ch. 6.2 - A method of applying zinc plating to steel is...Ch. 6.2 - Fill in the blank: A 95% confidence interval for...Ch. 6.2 - Refer to Exercise 14. For which null hypothesis...Ch. 6.2 - A scientist computes a 90% confidence interval to...Ch. 6.2 - The strength of a certain type of rubber is tested...Ch. 6.2 - A shipment of fibers is not acceptable if the mean...Ch. 6.2 - Refer to Exercise 17. It is discovered that the...Ch. 6.2 - Refer to Exercise 18. It is discovered that the...Ch. 6.2 - The following MINITAB output (first shown in...Ch. 6.3 - Integrated circuits consist of electric channels...Ch. 6.3 - The article HIV-positive Smokers Considering...Ch. 6.3 - Do bathroom scales tend to underestimate a persons...Ch. 6.3 - The article Evaluation of Criteria for Setting...Ch. 6.3 - In a survey of 500 residents in a certain town,...Ch. 6.3 - Prob. 6ECh. 6.3 - In a sample of 150 households in a certain city,...Ch. 6.3 - Prob. 8ECh. 6.3 - Let A and B represent two variants (alleles) of...Ch. 6.3 - Prob. 10ECh. 6.3 - Refer to Exercise 2 in Section 5.2. Can it be...Ch. 6.3 - The following MINITAB output presents the results...Ch. 6.3 - Prob. 13ECh. 6.4 - Each of the following hypothetical data sets...Ch. 6.4 - A geologist is making repeated measurements (in...Ch. 6.4 - A new centrifugal pump is being considered for an...Ch. 6.4 - A certain manufactured product is supposed to...Ch. 6.4 - The article Influence of Penetration Rate on...Ch. 6.4 - A new process for producing a type of novolac...Ch. 6.4 - Specifications call for the wall thickness of...Ch. 6.4 - As part of the quality-control program for a...Ch. 6.4 - The article Approximate Methods for Estimating...Ch. 6.4 - Refer to Exercise 12 in Section 5.3. Can you...Ch. 6.4 - Refer to Exercise 13 in Section 5.3. Can you...Ch. 6.4 - The following MINITAB output presents the results...Ch. 6.4 - The following MINITAB output presents the results...Ch. 6.5 - The article Capillary Leak Syndrome in Children...Ch. 6.5 - The article Some Parameters of the Population...Ch. 6.5 - The article Measurement of Complex Permittivity of...Ch. 6.5 - The article Wired: Energy Drinks, Jock Identity,...Ch. 6.5 - In a test to compare the effectiveness of two...Ch. 6.5 - Prob. 6ECh. 6.5 - A statistics instructor who teaches a lecture...Ch. 6.5 - Fifty specimens of a new computer chip were tested...Ch. 6.5 - Are low-fat diets or low-carb diets more effective...Ch. 6.5 - In a certain supermarket, a sample of 60 customers...Ch. 6.5 - The National Opinion Research Center polled a...Ch. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.6 - Two extrusion machines that manufacture steel rods...Ch. 6.6 - Resistors labeled as 100 are purchased from two...Ch. 6.6 - The article A Music Key Detection Method Based on...Ch. 6.6 - Prob. 4ECh. 6.6 - The article HIV-positive Smokers Considering...Ch. 6.6 - Prob. 6ECh. 6.6 - To test the effectiveness of protective packaging,...Ch. 6.6 - Prob. 8ECh. 6.6 - The article Factors Associated with Exercise...Ch. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - In a study conducted by the U.S. Department of...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.7 - A crayon manufacturer is comparing the effects of...Ch. 6.7 - In a study of the relationship of the shape of a...Ch. 6.7 - The article Influence of Penetration Rate on...Ch. 6.7 - The article Time Series Analysis for Construction...Ch. 6.7 - The Mastic tree (Pistacia lentiscus) is used in...Ch. 6.7 - Two weights, each labeled as weighing 100 g, are...Ch. 6.7 - It is thought that a new process for producing a...Ch. 6.7 - The article Effects of Aerosol Species on...Ch. 6.7 - The article Wind-Uplift Capacity of Residential...Ch. 6.7 - The article Magma Interaction Processes Inferred...Ch. 6.7 - The article Structural Performance of Rounded...Ch. 6.7 - The article Variance Reduction Techniques:...Ch. 6.7 - In an experiment to test the effectiveness of a...Ch. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - The following MINITAB output presents the results...Ch. 6.8 - The article Improved Bioequivalence Assessment of...Ch. 6.8 - The article Estimation of Mean Arterial Pressure...Ch. 6.8 - Prob. 3ECh. 6.8 - Prob. 4ECh. 6.8 - Prob. 5ECh. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - The article Effect of Granular Subbase Thickness...Ch. 6.8 - A crossover trial is a type of experiment used to...Ch. 6.8 - Prob. 10ECh. 6.8 - Prob. 11ECh. 6.8 - Prob. 12ECh. 6.8 - Prob. 13ECh. 6.9 - The article Wastewater Treatment Sludge as a Raw...Ch. 6.9 - Prob. 2ECh. 6.9 - The article Reaction Modeling and Optimization...Ch. 6.9 - Prob. 4ECh. 6.9 - Prob. 5ECh. 6.9 - Prob. 6ECh. 6.9 - A new postsurgical treatment is being compared...Ch. 6.9 - Prob. 8ECh. 6.9 - In a comparison of the effectiveness of distance...Ch. 6.9 - Prob. 10ECh. 6.10 - Fasteners are manufactured for an application...Ch. 6.10 - At an assembly plant for light trucks, routine...Ch. 6.10 - Prob. 3ECh. 6.10 - Prob. 4ECh. 6.10 - The article Chronic Beryllium Disease and...Ch. 6.10 - The article The Effectiveness of Child Restraint...Ch. 6.10 - For the given table of observed values,...Ch. 6.10 - For the given table of observed values, a....Ch. 6.10 - Fill in the blank: For observed and expected...Ch. 6.10 - Because of printer failure, none of the observed...Ch. 6.10 - Plates are evaluated according to their surface...Ch. 6.10 - The article Determination of Carboxyhemoglobin...Ch. 6.10 - Prob. 13ECh. 6.10 - Prob. 14ECh. 6.11 - A random sample of size 11 from a normal...Ch. 6.11 - A random sample of size 29 from a normal...Ch. 6.11 - Scores on an IQ test are normally distributed. A...Ch. 6.11 - A machine that fills beverage cans is supposed to...Ch. 6.11 - A sample of 25 one-year-old girls had a mean...Ch. 6.11 - Prob. 6ECh. 6.11 - Scores on the math SAT are normally distributed. A...Ch. 6.11 - One of the ways in which doctors try to determine...Ch. 6.11 - Prob. 9ECh. 6.11 - Find the upper 1% point of F2,5.Ch. 6.11 - Prob. 11ECh. 6.11 - A broth used to manufacture a pharmaceutical...Ch. 6.11 - Refer to Exercise 11 in Section 5.6. Can you...Ch. 6.11 - Prob. 14ECh. 6.12 - A hypothesis test is performed, and the P-value is...Ch. 6.12 - A process for a certain type of ore is designed to...Ch. 6.12 - A new braking system is being evaluated for a...Ch. 6.12 - A test is made of the hypotheses H0: 10 versus...Ch. 6.12 - A vendor claims that no more than 10% of the parts...Ch. 6.12 - Prob. 6ECh. 6.12 - A new process is being considered for the...Ch. 6.13 - A test has power 0.90 when = 15. True or false:...Ch. 6.13 - A test has power 0.80 when = 3.5. True or false:...Ch. 6.13 - If the sample size remains the same, and the level...Ch. 6.13 - If the level remains the same, and the sample...Ch. 6.13 - A tire company claims that the lifetimes of its...Ch. 6.13 - A copper smelting process is supposed to reduce...Ch. 6.13 - Prob. 7ECh. 6.13 - A new process for producing silicon wafers for...Ch. 6.13 - Prob. 9ECh. 6.13 - Prob. 10ECh. 6.13 - Prob. 11ECh. 6.14 - An agricultural scientist tests six types of...Ch. 6.14 - Prob. 2ECh. 6.14 - Six different settings are tried on a machine to...Ch. 6.14 - Prob. 4ECh. 6.14 - Twenty formulations of a coating are being tested...Ch. 6.14 - Prob. 6ECh. 6.14 - Each day for 200 days, a quality engineer samples...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Exercises 1 to 4 describe experiments that require...Ch. 6 - Suppose you have purchased a filling machine for...Ch. 6 - Prob. 6SECh. 6 - Prob. 7SECh. 6 - Twenty-one independent measurements were taken of...Ch. 6 - There is concern that increased industrialization...Ch. 6 - Prob. 10SECh. 6 - A machine that grinds valves is set to produce...Ch. 6 - Resistors for use in a certain application are...Ch. 6 - A machine manufactures bolts that are supposed to...Ch. 6 - Electric motors are assembled on four different...Ch. 6 - Refer to Exercise 14. The process engineer notices...Ch. 6 - Consider the following two samples:...Ch. 6 - Prob. 17SECh. 6 - Prob. 18SECh. 6 - Two different chemical formulations of rocket fuel...Ch. 6 - Prob. 20SECh. 6 - Prob. 21SECh. 6 - The article Valuing Watershed Quality Improvements...Ch. 6 - Anthropologists can estimate the birthrate of an...Ch. 6 - Prob. 24SE
Additional Math Textbook Solutions
Find more solutions based on key concepts
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
Find all solutions of each equation in the interval .
Precalculus: A Unit Circle Approach (3rd Edition)
Silvia wants to mix a 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% appl...
Beginning and Intermediate Algebra
For each hour of class time, how many hours outside of class are recommended for studying and doing homework?
Elementary Algebra For College Students (10th Edition)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
1. How is a sample related to a population?
Elementary Statistics: Picturing the World (7th 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
- Are the t-statistics here greater than 1.96? What do you conclude? colgPA= 1.39+0.412 hsGPA (.33) (0.094) Find the P valuearrow_forwardA poll before the elections showed that in a given sample 79% of people vote for candidate C. How many people should be interviewed so that the pollsters can be 99% sure that from 75% to 83% of the population will vote for candidate C? Round your answer to the whole number.arrow_forwardSuppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a95% confidence interval for . Round your answer to three decimal places.arrow_forward
- A history teacher interviewed a random sample of 80 students about their preferences in learning activities outside of school and whether they are considering watching a historical movie at the cinema. 69 answered that they would like to go to the cinema. Let p represent the proportion of students who want to watch a historical movie. Determine the maximal margin of error. Use α = 0.05. Round your answer to three decimal places. arrow_forwardA random sample of medical files is used to estimate the proportion p of all people who have blood type B. If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.07 from p? Round your answer to the next higher whole number.arrow_forwardA clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forward
- A clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forwardIn the experiment a sample of subjects is drawn of people who have an elbow surgery. Each of the people included in the sample was interviewed about their health status and measurements were taken before and after surgery. Are the measurements before and after the operation independent or dependent samples?arrow_forwardiid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²arrow_forward
- 2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).arrow_forwardmatharrow_forwardCompute the median of the following data. 32, 41, 36, 42, 29, 30, 40, 22, 25, 37arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
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