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
Videos
Textbook Question
Chapter 1.2, Problem 13E
Allowable mechanical properties for structural design of metallic aerospace vehicles requires an approved method for statistically analyzing empirical test data. The article “Establishing Mechanical Property Allowables for Metals” (J. of Testing and Evaluation, 1998: 293-299) used the accompanying data on tensile ultimate strength (ksi) as a basis for addressing the difficulties in developing such a method.
| 122.2 | 124.2 | 124.3 | 125.6 | 126.3 | 126.5 | 126.5 | 127.2 | 127.3 |
| 127.5 | 127.9 | 128.6 | 128.8 | 129.0 | 129.2 | 129.4 | 129.6 | 130.2 |
| 130.4 | 130.8 | 131.3 | 131.4 | 131.4 | 131.5 | 131.6 | 131.6 | 131.8 |
| 131.8 | 132.3 | 132.4 | 132.4 | 132.5 | 132.5 | 132.5 | 132.5 | 132.6 |
| 132.7 | 132.9 | 133.0 | 133.1 | 133.1 | 133.1 | 133.1 | 133.2 | 133.2 |
| 133.2 | 133.3 | 133.3 | 133.5 | 133.5 | 133.5 | 133.8 | 133.9 | 134.0 |
| 134.0 | 134.0 | 134.0 | 134.1 | 134.2 | 134.3 | 134.4 | 134.4 | 134.6 |
| 134.7 | 134.7 | 134.7 | 134.8 | 134.8 | 134.8 | 134.9 | 134.9 | 135.2 |
| 135.2 | 135.2 | 135.3 | 135.3 | 135.4 | 135.5 | 135.5 | 135.6 | 135.6 |
| 135.7 | 135.8 | 135.8 | 135.8 | 135.8 | 135.8 | 135.9 | 135.9 | 135.9 |
| 135.9 | 136.0 | 136.0 | 136.1 | 136.2 | 136.2 | 136.3 | 136.4 | 136.4 |
| 136.6 | 136.8 | 136.9 | 136.9 | 137.0 | 137.1 | 137.2 | 137.6 | 137.6 |
| 137.8 | 137.8 | 137.8 | 137.9 | 137.9 | 138.2 | 138.2 | 138.3 | 138.3 |
| 138.4 | 138.4 | 138.4 | 138.5 | 138.5 | 138.6 | 138.7 | 138.7 | 139.0 |
| 139.1 | 139.5 | 139.6 | 139.8 | 139.8 | 140.0 | 140.0 | 140.7 | 140.7 |
| 140.9 | 140.9 | 141.2 | 141.4 | 141.5 | 141.6 | 142.9 | 143.4 | 143.5 |
| 143.6 | 143.8 | 143.8 | 143.9 | 144.1 | 144.5 | 144.5 | 147.7 | 147.7 |
- a. Construct a stem-and-leaf display of the data by first deleting (truncating) the tenths digit and then repeating each stem value five times (once for leaves 1 and 2. a second time for leaves 3 and 4. etc.). Why is it relatively easy to identify a representative strength value?
- b. Construct a histogram using equal-width classes with the first class having a lower limit of 122 and an upper limit of 124. Then comment on any interesting features of the histogram.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Allowable mechanical properties for structural designof metallic aerospace vehicles requires an approvedmethod for statistically analyzing empirical test data.The article “Establishing Mechanical PropertyAllowables for Metals” (J. of Testing and Evaluation,1998: 293–299) used the accompanying data on tensileultimate strength (ksi) as a basis for addressingthe difficulties in developing such a method.122.2 124.2 124.3 125.6 126.3 126.5 126.5 127.2 127.3127.5 127.9 128.6 128.8 129.0 129.2 129.4 129.6 130.2130.4 130.8 131.3 131.4 131.4 131.5 131.6 131.6 131.8131.8 132.3 132.4 132.4 132.5 132.5 132.5 132.5 132.6132.7 132.9 133.0 133.1 133.1 133.1 133.1 133.2 133.2133.2 133.3 133.3 133.5 133.5 133.5 133.8 133.9 134.0134.0 134.0 134.0 134.1 134.2 134.3 134.4 134.4 134.6134.7 134.7 134.7 134.8 134.8 134.8 134.9 134.9 135.2135.2 135.2 135.3 135.3 135.4 135.5 135.5 135.6 135.6135.7 135.8 135.8 135.8 135.8 135.8 135.9 135.9 135.9135.9 136.0 136.0 136.1 136.2 136.2 136.3 136.4 136.4136.6 136.8…
Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper “Bone Mass Is Recovered from Lactation to Postweaning in Adolescent Mothers with Low Calcium Intakes” (Amer. J. of Clinical Nutr., 2004: 1322–1326) gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P). SubjectL 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627
Does the data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of .05.
Stressed-Out Bus Drivers. Previous studies have shown that urban bus drivers have an extremely stressful job, and a large proportion of drivers retire prematurely with disabilities due to occupational stress. In the paper, “Hassles on the Job: A Study of a Job Intervention With Urban Bus Drivers” (Journal of Organizational Behavior, Vol. 20, pp. 199–208), G. Evans et al. examined the effects of an intervention program to improve the conditions of urban bus drivers.Amongother variables, the researchers monitored diastolic blood pressure of bus drivers in downtown Stockholm, Sweden. The data, in millimeters of mercury (mm Hg), on the WeissStats site are based on the blood pressures obtained prior to intervention for the 41 bus drivers in the study. Use the technology of your choice to do the following.
a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data.
b. Based on your results from part (a), can you reasonably apply the one-mean t-test to the…
Chapter 1 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 1.1 - Give one possible sample of size 4 from each of...Ch. 1.1 - For each of the following hypothetical...Ch. 1.1 - Consider the population consisting of all...Ch. 1.1 - a. Give three different examples of concrete...Ch. 1.1 - Many universities and colleges have instituted...Ch. 1.1 - The California State University (CSU) system...Ch. 1.1 - A certain city divides naturally into ten district...Ch. 1.1 - The amount of flow through a solenoid valve in an...Ch. 1.1 - In a famous experiment carried out in 1882,...Ch. 1.2 - Consider the strength data for beams given in...
Ch. 1.2 - The accompanying specific gravity values for...Ch. 1.2 - The accompanying summary data on CeO2 particle...Ch. 1.2 - Allowable mechanical properties for structural...Ch. 1.2 - The accompanying data set consists of observations...Ch. 1.2 - Do running limes of American movies differ somehow...Ch. 1.2 - The article cited in Example 1.2 also gave the...Ch. 1.2 - The accompanying data came from a study of...Ch. 1.2 - Every corporation has a governing board of...Ch. 1.2 - The number of contaminating particles on a silicon...Ch. 1.2 - The article Determination of Most Representative...Ch. 1.2 - The article cited in Exercise 20 also gave the...Ch. 1.2 - How does the speed of a runner vary over the...Ch. 1.2 - The article Statistical Modeling of the Time...Ch. 1.2 - The accompanying data set consists of observations...Ch. 1.2 - A transformation of data values by means of some...Ch. 1.2 - The accompanying summary data on CeO2 particle...Ch. 1.2 - The article Study on the Life Distribution of...Ch. 1.2 - The accompanying frequency distribution on...Ch. 1.2 - The following categories for type of physical...Ch. 1.2 - A Pareto diagram is a variation of a histogram for...Ch. 1.2 - The cumulative frequency and cumulative relative...Ch. 1.2 - Fire load (MJ/m2) is the heat energy that could be...Ch. 1.3 - The May 1, 2009, issue of The Montclarian reported...Ch. 1.3 - Exposure to microbial products, especially...Ch. 1.3 - Mercury is a persistent and dispersive...Ch. 1.3 - A sample of 26 offshore oil workers took part in a...Ch. 1.3 - The article Snow Cover and Temperature...Ch. 1.3 - Blood pressure values are often reported to the...Ch. 1.3 - The propagation of fatigue cracks in various...Ch. 1.3 - Compute the sample median. 25% trimmed mean. 10%...Ch. 1.3 - A sample of n = 10 automobiles was selected, and...Ch. 1.3 - a. If a constant c is added to each xi in a...Ch. 1.3 - An experiment to study the lifetime (in hours) for...Ch. 1.4 - Poly(3-hydroxybutyrate) (PHB), a semicrystalline...Ch. 1.4 - The value of Youngs modulus (GPa) was determined...Ch. 1.4 - The article Effects of Short-Term Warming on Low...Ch. 1.4 - Zinfandel is a popular red wine varietal produced...Ch. 1.4 - Exercise 34 presented the following data on...Ch. 1.4 - A study of the relationship between age and...Ch. 1.4 - In 1997 a woman sued a computer keyboard...Ch. 1.4 - The article A Thin-Film Oxygen Uptake Test for the...Ch. 1.4 - The first four deviations from the mean in a...Ch. 1.4 - A mutual fund is a professionally managed...Ch. 1.4 - Grip is applied to produce normal surface forces...Ch. 1.4 - Here is a stem-and-leaf display of the escape time...Ch. 1.4 - The following data on distilled alcohol content...Ch. 1.4 - A sample of 20 glass bottles of a particular type...Ch. 1.4 - A company utilizes two different machines to...Ch. 1.4 - Blood cocaine concentration (mg/L) was determined...Ch. 1.4 - Observations on burst strength (lb/in2) were...Ch. 1.4 - The accompanying comparative boxplot of gasoline...Ch. 1 - Consider the following information on ultimate...Ch. 1 - A sample of 77 individuals working at a particular...Ch. 1 - Fretting is a wear process that results from...Ch. 1 - The accompanying frequency distribution of...Ch. 1 - A deficiency of the (race element selenium in the...Ch. 1 - Aortic stenosis refers to a narrowing of the...Ch. 1 - a. For what value of c is the quantity (xi c)2...Ch. 1 - a. Let a and b be constants and let yi = axi + b...Ch. 1 - Elevated energy consumption during exercise...Ch. 1 - Here is a description from Minitab of the strength...Ch. 1 - Anxiety disorders and symptoms can often be...Ch. 1 - The article Can We Really Walk Straight? (Amer. J....Ch. 1 - The mode of a numerical data set is the value that...Ch. 1 - Specimens of three different types of rope wire...Ch. 1 - The three measures of center introduced in this...Ch. 1 - The authors of the article Predictive Model for...Ch. 1 - Consider a sample x1 , x2,..., xn and suppose that...Ch. 1 - Let xn and sn2 denote the sample mean and variance...Ch. 1 - Lengths of bus routes for any particular transit...Ch. 1 - A study carried out to investigate the...Ch. 1 - Prob. 82SECh. 1 - Prob. 83SECh. 1 - Consider a sample x1, ... , xn with n even. Let xL...
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
- Body Fat. J. McWhorter et al. of the College of Health Sciences at the University of Nevada, Las Vegas, studied physical therapy students during their graduate-school years. The researchers were interested in the fact that, although graduate physical-therapy students are taught the principles of fitness, some have difficulty finding the time to implement those principles. In the study, published as “An Evaluation of Physical Fitness Parameters for Graduate Students” (Journal of American College Health, Vol. 51, No. 1, pp. 32–37), a sample of 27 female graduate physical-therapy students had a mean of 22.46 percent body fat. a. Assuming that percent body fat of female graduate physicaltherapy students is normally distributed with standard deviation 4.10 percent body fat, determine a 95% confidence interval for the mean percent body fat of all female graduate physical-therapy students. b. Obtain the margin of error, E, for the confidence interval you found in part (a). c. Explain the…arrow_forwardThe authors of the article “Predictive Model for PittingCorrosion in Buried Oil and Gas Pipelines”(Corrosion, 2009: 332–342) provided the data on whichtheir investigation was based.a. Consider the following sample of 61 observations onmaximum pitting depth (mm) of pipeline specimensburied in clay loam soil. 0.41 0.41 0.41 0.41 0.43 0.43 0.43 0.48 0.480.58 0.79 0.79 0.81 0.81 0.81 0.91 0.94 0.941.02 1.04 1.04 1.17 1.17 1.17 1.17 1.17 1.171.17 1.19 1.19 1.27 1.40 1.40 1.59 1.59 1.601.68 1.91 1.96 1.96 1.96 2.10 2.21 2.31 2.462.49 2.57 2.74 3.10 3.18 3.30 3.58 3.58 4.154.75 5.33 7.65 7.70 8.13 10.41 13.44Construct a stem-and-leaf display in which the twolargest values are shown in a last row labeled HI.b. Refer back to (a), and create a histogram based oneight classes with 0 as the lower limit of the firstclass and class widths of .5, .5, .5, .5, 1, 2, 5, and 5,respectively.c. The accompanying comparative boxplot fromMinitab shows plots of pitting depth for four differenttypes of soils.…arrow_forwardDuring the spring of 1999, many fuel storage facilities in Serbia were destroyed by bombing. As a result, significant quantities of oil products were spilled and burned,resulting in soil pollution. The article “Mobility of Heavy Metals Originating from Bombing of Industrial Sites” (B. Škrbić, J. Novaković, and N. Miljević, Journal of Environmental Science and Health, 2002:7–16) reports measurements of heavy metal concentrations at several industrial sites in June 1999, just after the bombing, and again in March of 2000. At the Smederevo site, on the banks of the Danube River, eight soil specimens taken in 1999 had an average lead concentration (in mg/kg) of 10.7 with a standard deviation of 3.3. Four specimens taken in 2000 had an average lead concentration of 33.8 with a standard deviation of 0.50. Find a 95% confidence interval for the increase in lead concentration between June 1999 and March 2000.arrow_forward
- Did the ductility of the wire change after soaking it to an acid solution? Infer from the data below: Ductility before soaking Ductility after soaking 2563 2405 2564 2406 2565 2407 2566 2408 2567 2409 2452 2693 2453 2694 2454 2695 2455 2696 2456 2697 2634 2589 2635 2590 2636 2591 2637 2592 1.) Create a null and alternative hypothesis 2.) Is there a significant change before and after soaking? Prove it using computationsarrow_forwardThe table below summarizes a data set we first encountered in Exercise 6.29 that examines the responses of a random sample of college graduates and nongraduates on the topic of oil drilling. Complete a chi-square test for these data to check whether there is a statistically significant difference in responses from college graduates and non-graduates. χ2:? df:? Conclusion: There is insufficient evidence that there is an association between support for off-shore drilling and having a college degree There is strong evidence that the proportion of those supporting off-shore drilling is greater than those having a college degree There is insufficient evidence that the proportion of those supporting off-shore drilling is greater than those having a college degree There is strong evidence that there is an association between support for off-shore drilling and having a college degreearrow_forwardThe National Transportation Safety Board wants to look at the safety of three different sizes of cars. Using the data below, determine the whether the mean pressure applied to the driver`s head during a crash is equal for each type of car at alpha = 0.01 Compact cars Midsize cars Full-size Cars 643 469 484 655 427 456 702 525 402 a) Ho: Ha : b) Decision c) Conclusionarrow_forward
- An urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:arrow_forwardAn article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279) considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. A doctor would like to know if there is evidence that the success rate is greater for longer tears. The P-value for the test H0: p1 = p2 versus H1: p1 > p2 is closest to:arrow_forwardThe article “Dynamics of Insulin Action in Hypertension: Assessment from Minimal ModelInterpretation of Intravenous Glucose Tolerance Test Data” (R. Burattini, M. Morettini, etal., Med Biol Eng Comput, 2011:831–841) compared levels of an insulin sensitivity index SIin patients with high blood pressure and patients with normal blood pressure. Ten patientswith high blood pressure had a mean value of 3.4 with a standard deviation of 0.6, and eightpatients with normal blood pressure had a mean value of 7.9 with a standard deviation of0.6. Units are 10−5 · min−1 · pmol−1. Find a 98% confidence interval for the difference inmean levels between those with high blood pressure and those with normal blood pressure.arrow_forward
- 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).arrow_forwardThe article “Drift in Posturography Systems Equipped with a Piezoelectric Force Platform: Analysis and Numerical Compensation” (L. Quagliarella, N. Sasanelli, and V. Monaco, IEEE Transactions on Instrumentation and Measurement, 2008: 997–1004) reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plate. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 100 times per second for 300 seconds, for a total of 30,000 measurements. Find a 95% confidence interval for the population correlation ρ.arrow_forwardA new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05. Pain Rating as Reported by Patients Old Drug 1 3 3 4 6 New Drug 1 2 3 3 7arrow_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