Probability and Statistics for Engineers and Scientists 4th Edition solutions

Probability and Statistics for Engineers and Scientists 4
Restaurant Service Times (a) Construct the empirical cumulative distribution function for the data set of restaurant service times given in DS 6.1.4. (b) Draw 95% condence bands around the empirical cumulative distribution function. (c) Is it plausible that the service times are normally distributed

Probability and Statistics for Engineers and Scientists 4
Paving Slab Weights (a) Construct the empirical cumulative distribution function for the data set of paving slab weights given in DS 6.1.7. (b) Draw 95% condence bands around the empirical cumulative distribution function. (c) Is it plausible that the paving slab weights are normally distributed wit

Probability and Statistics for Engineers and Scientists 4
Spray Painting Procedure Construct the empirical cumulative distribution function for the data set of paint thicknesses given in DS 6.1.8. Draw 95% condence bands around the empirical cumulative distribution function. Analyze the median (or mean) paint thickness using the sign test, the signed rank

Probability and Statistics for Engineers and Scientists 4
Plastic Panel Bending Capabilities Construct the empirical cumulative distribution function for the data set of deformity angles given in DS 6.1.9.Draw 95% condence bands around the empirical cumulative distribution function. Analyze the median (or mean) deformity angle using the sign test, the signe

Probability and Statistics for Engineers and Scientists 4
Suppose that the data set in DS 15.1.1 consists of values that can be taken to be independent observations from a particular distribution. Consider testing whether the median of the distribution is equal to 18.0 against a two-sided alternative. (a) What is the value of the test statistic used by the

Probability and Statistics for Engineers and Scientists 4
Repeat Problem 15.1.5 using the data set in DS 15.1.2 and for the null hypothesis that the median of the distribution is equal to 40 against a two-sided alternative hypothesis.

Probability and Statistics for Engineers and Scientists 4
Production Line Assembly Methods Use the sign test and the signed rank test to analyze the paired data set of assembly times given in DS 9.2.1. Why might it be expected that the signed rank test is a better test procedure than the sign test for this paired data set? Do you nd any evidence of a differ

Probability and Statistics for Engineers and Scientists 4
Red Blood Cell Adherence to Endothelial Cells Use the sign test and the signed rank test to analyze the paired data set of adherent red blood cells given in DS 9.2.2. Do you nd any evidence of a difference between the two stimulation conditions?

Probability and Statistics for Engineers and Scientists 4
Calculus Teaching Methods Use the sign test and the signed rank test to analyze the paireddatasetofcalculusscoresgiveninDS9.2.4.Doyou ndanyevidenceofadifferencebetweenthetwoteaching methods? How much better is the new teaching method?

Probability and Statistics for Engineers and Scientists 4
Radioactive Carbon Dating Use the sign test and the signed rank test to analyze the paired data set given in DS 9.2.5 concerning the radioactive carbon dating methods. Do you nd any evidence of a difference between the two dating methods?

Probability and Statistics for Engineers and Scientists 4
Golf Ball Design Use the sign test and the signed rank test to analyze the paireddatasetofgolfshotsgiveninDS9.2.6.Doyound any evidence of a difference between the two ball types?

Probability and Statistics for Engineers and Scientists 4
Carbon Footprints Analyze the data in DS 6.7.15, which contain estimates of the pounds of carbon dioxide released when making several types of car.

Probability and Statistics for Engineers and Scientists 4
Data Warehouse Design Powerconsumptionrepresentsalargeproportionofadata centers costs. Use nonparametric methods to analyze the data in DS 6.7.16, which shows monthly electricty costs as a percentage of the data centers total costs.

Probability and Statistics for Engineers and Scientists 4
Customer Churn Customer churn is a term used for the attrition of a companys customers. DS 6.7.17 contains information from an Internet service provider on the length of days that its customers were signed up before switching to another provider. Use the techniques described in this section to analyz

Probability and Statistics for Engineers and Scientists 4
Mining Mill Operations DS 6.7.18 contains daily data for the mill operations of a mining company over a period of a month. Each day, the company keeps track of the carbon concentration in the waste material. Use the techniques described in this section to analyze this data.

Probability and Statistics for Engineers and Scientists 4
Restaurant Service Times Recall that DS 6.1.4 shows the service times of customers at a fast-food restaurant who were served between 2:00 and 3:00 on a Saturday afternoon, and that DS 9.3.5 shows the service times of customers at the fast-food restaurant who were served between 9:00 and 10:00 in the

Probability and Statistics for Engineers and Scientists 4
Paving Slab Weights Recall that DS 6.1.7 shows the weights of a sample of paving slabs from manufacturer A and that DS 9.3.1 shows the weights of a sample of paving slabs from manufacturer B. (a) Make a plot of the empirical cumulative distribution functions of these two data sets. (b) What does a vi

Probability and Statistics for Engineers and Scientists 4
Heel-Strike Force on a Treadmill DS 9.3.3 contains observations of heel-strike force for a runner on a treadmill with and without a damped feature activated. Use plots of the empirical cumulative distribution functions and the Kolmogorov-Smirnov test to investigate whether the damped feature is effec

Probability and Statistics for Engineers and Scientists 4
Use the rank sum test procedure to analyze the two samples in DS 15.2.1. (a) Combine the two samples and rank the observations. (b) What is SA? (c) What is UA? (d) Is the value of UA consistent with the observations from population A being larger or smaller than the observations from population B? (e

Probability and Statistics for Engineers and Scientists 4
Repeat Problem 15.2.4 using the data set in DS 15.2.2.

Probability and Statistics for Engineers and Scientists 4
Use the rank sum test to analyze the data set in Figure 9.20 concerning Example 51 on acrophobia treatments. Let population A be with the standard treatment and population B be with the new treatment. (a) Combine the two samples and rank the observations. (b) What is SA? (c) What is UA? (d) Is the va

Probability and Statistics for Engineers and Scientists 4
Spray Painting Procedure Recall that DS 6.1.8 contains a sample of paint thicknesses from production line A and that DS 9.3.2 contains a sample of paint thicknesses from production line B. (a) Make a plot of the empirical cumulative distribution functions of these two data sets. (b) What does a visua

Probability and Statistics for Engineers and Scientists 4
Bleaching Agents RecallthatDS9.3.4containstheresultsofanexperiment tocomparethebleachingeffectivenessoftwolevelsofhydrogenperoxide,alowlevelandahighlevel.Usetherank sumtesttoassesswhetherthereisevidenceofadifference between the low and high levels of hydrogen peroxide.

Probability and Statistics for Engineers and Scientists 4
Clinical Trial Use the rank sum test to analyze the clinical trial data in DS 9.3.6.

Probability and Statistics for Engineers and Scientists 4
Carbon Footprints Use the methods discussed in this chapter to analyze the data in DS 9.7.14, which contains estimates of the pounds of carbon dioxide released when making several types of car, together with information on whether or not it is an SUV.

Probability and Statistics for Engineers and Scientists 4
Green Management A company introduces green management techniques to make its manufacturing processes more environmentally friendly and to cut waste. DS 9.7.15 shows weekly data on the percentage of damaged inventory for 10 weeks before and 10 weeks after the implementation of the new techniques. Us

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Data Warehouse Design Power consumption represents a large proportion of a data centers costs. A redesign was undertaken by a company in an attempt to reduce these costs by more efcient uses of its physical components such as its routers, hubs, and switches. The data in DS 9.7.16 shows monthly electr

Probability and Statistics for Engineers and Scientists 4
Natural Gas Consumption DS 9.7.18 contains data on the total daily natural gas consumption for a region for both the summer time and the winter time. Use nonparametric statistical techniques to investigate whether the natural gas consumption patterns vary between summer and winter.

Probability and Statistics for Engineers and Scientists 4
Use the Kruskal-Wallis test procedure to analyze the data in DS 11.1.1. (a) Find the ranks rij. (b) What are the average ranks r1, r2, and r3? (c) What is the value of the test statistic H? (d) Write down an expression for the p-value and use a computer package to evaluate it.

Probability and Statistics for Engineers and Scientists 4
Use the Kruskal-Wallis test procedure to analyze the data in DS 11.1.2. (a) Find the ranks rij and the average ranks r1, r2, r3, and r4. (b) What is the value of the test statistic H? (c) Write down an expression for the p-value and use a computer package to evaluate it.

Probability and Statistics for Engineers and Scientists 4
Infrared Radiation Readings The data set in DS 11.1.3 concerns the infrared radiation readings from an energy source measured by a particular meter with three different background radiation levels. (a) Use the Kruskal-Wallis test procedure to investigate whether the radiation readings are affected b

Probability and Statistics for Engineers and Scientists 4
Keyboard Layout Designs DS 11.1.4 contains the times taken to perform a task using three different keyboard layouts for the numerical keys. Use the Kruskal-Wallis test procedure to investigate whether the different layouts affect the time taken to perform a task.

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Computer Assembly Methods DS 11.1.6 contains the assembly times of computers for three different assembly methods. Use the Kruskal-Wallis test procedure to investigate whether there is any evidence that one assembly method is any quicker than the other methods.

Probability and Statistics for Engineers and Scientists 4
Use the Friedman test procedure to analyze the data in DS 11.2.1. (a) Find the ranks rij. (b) What are the average ranks r1, r2, and r3? (c) What is the value of the test statistic S? (d) Write down an expression for the p-value and use a computer package to evaluate it.

Probability and Statistics for Engineers and Scientists 4
Use the Friedman test procedure to analyze the data in DS 11.2.2. (a) Find the ranks rij and the average ranks r1, r2, r3, and r4. (b) What is the value of the test statistic S? (c) Write down an expression for the p-value and use a computer package to evaluate it.

Probability and Statistics for Engineers and Scientists 4
Calciner Comparisons The data set in DS 11.2.3 concerns the brightness measurements for b =7 batches of kaolin processed through k =3 calciners. (a) Use the Friedman test procedure to investigate whether the calciners are operating with different efciencies. (b) Repeat the analysis using an analysis

Probability and Statistics for Engineers and Scientists 4
Radar Detection of Airborne Objects DS 11.2.4 contains distances at detection for three radar systems. Use the Friedman test procedure to investigate whether there is evidence of any difference between the radar systems.

Probability and Statistics for Engineers and Scientists 4
Production Line Assembly Methods The data set in DS 11.2.6 concerns an experiment to compare three different assembly methods for an electric motor. Use the Friedman test procedure to investigate whether there is evidence of any difference between the three assembly methods.

Probability and Statistics for Engineers and Scientists 4
Realtor Commissions DS 11.2.7 contains the commissions obtained by ve agents in a Realtor ofce. Use the Friedman test procedure to investigate whether there is evidence of any real difference in the performances of the agents.

Probability and Statistics for Engineers and Scientists 4
Cleanliness Scores for Detergent Comparisons The data set in DS 11.2.8 concerns an experiment to compare four different formulations of a detergent. Use the Friedman test procedure to investigate whether there is evidence of any difference between the detergent formulations.

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Durations of Investigatory Surgical Procedures Use the appropriate nonparametric methodology from this section to analyze the data in DS 11.1.8.

Probability and Statistics for Engineers and Scientists 4
E. Coli Colonies in Riverwater Use the appropriate nonparametric methodology from this section to analyze the data in DS 11.1.9.

Probability and Statistics for Engineers and Scientists 4
Groundwater Pollution Levels Use the appropriate nonparametric methodology from this section to analyze the data in DS 11.2.9.

Probability and Statistics for Engineers and Scientists 4
Volatile Organic Carbon Emissions Volatile organic carbon emissions are measured at ve locations of an industrial facility on each of 10 days, and the data is given in DS 11.5.11. Use a nonparametric procedure to investigate whether there is there any evidence of a difference in the emissions rates a

Probability and Statistics for Engineers and Scientists 4
Osteoporosis Patient Heights (a) Construct the empirical cumulative distribution function for the data set of adult male heights given in DS 6.7.4. (b) Draw 95% condence bands around the empirical cumulative distribution function. (c) Is it plausible that the heights are normally distributed with a m

Probability and Statistics for Engineers and Scientists 4
Bamboo Cultivation Construct the empirical cumulative distribution function for the data set of bamboo shoot heights given in DS 6.7.5. Draw 95% condence bands around the empirical cumulative distribution function. Analyze the median (or mean) shoot height using the sign test, the signed rank test, a

Probability and Statistics for Engineers and Scientists 4
Tire Tread Wear Use the sign test and the signed rank test to analyze the paired data set of tire wear given in DS 9.2.3. Do you nd any evidence of a difference between the two types of tires? Do you think that the analysis with the signed rank test is better than the analysis with the sign test? Com

Probability and Statistics for Engineers and Scientists 4
Video Display Designs Use the sign test and the signed rank test to analyze the paired data set given in DS 9.7.1 concerning the assimilationofinformationfromvideomonitors.Doyou nd any evidence of a difference between the two color types? Compare your results with an analysis based upon the t-test. S

Probability and Statistics for Engineers and Scientists 4
Consumer Complaints Division Reorganization Recall that DS 9.7.4 contains data observations of waiting times for a consumer to speak to a company representative on a telephone complaints line both before and after a reorganization. (a) Make a plot of the empirical cumulative distribution functions of

Probability and Statistics for Engineers and Scientists 4
Bamboo Cultivation A researcher compares the bamboo shoot heights in DS 6.7.5 obtained under growing conditions A with the bamboo shoot heights in DS 9.7.3 obtained under growingconditionsB.Recallthatthegrowingconditions Ballowed10%moresunlightthangrowingconditionsA. (a) Make a plot of the empirical

Probability and Statistics for Engineers and Scientists 4
Use the rank sum test to analyze the data set in Figure 9.24 concerning Example 53 on kudzu pulping. Let population A be without the addition of anthraquinone and population B be with the addition of anthraquinone. (a) Combine the two samples and rank the observations. (b) What is SA? (c) What is UA?

Probability and Statistics for Engineers and Scientists 4
Biaxial Nanowire Tests DS 11.5.1 contains Youngs modulus measurements for four different types of nanowires. Use the Kruskal-Wallis test procedure to investigate whether there is any evidence of a difference in the types of nanowires. (a) Find the ranks rij. (b) What are the average ranks r1, r2,

Probability and Statistics for Engineers and Scientists 4
Car Gas Efciencies The data set in DS 11.5.2 concerns the gas mileages of four cars. (a) Use the Kruskal-Wallis test procedure to investigate whether any of the cars are getting better gas mileages than the other cars. (b) Repeat this analysis using an analysis of variance table. (c) What assumptions

Probability and Statistics for Engineers and Scientists 4
Temperature Effect on Cement Curing Use the Friedman test procedure to analyze the data set in DS 11.5.3 concerning cement strengths. (a) Find the ranks rij. (b) What are the average ranks r1, r2, r3, r4, and r5? (c) What is the value of the test statistic S? (d) Write down an expression for the

Probability and Statistics for Engineers and Scientists 4
Fertilizer Comparisons DS 11.5.4 contains the results of an experiment to compare ve fertilizers. Use the Friedman test procedure to investigate whether there is evidence of any difference between the fertilizers.

Probability and Statistics for Engineers and Scientists 4
Red Blood Cell Adhesion to Endothelial Cells The data set in DS 11.5.5 concerns the reports of k =4 clinics for b =12 samples of blood. (a) Use the Friedman test procedure to investigate whether the clinics appear to be reporting similar results. (b) Repeat the analysis using an analysis of variance

Probability and Statistics for Engineers and Scientists 4
Soil Compressibility Tests Recall the data set of soil compressibility measurements given in DS 6.7.6. Construct the empirical cumulative distribution function for this data set. Use the sign test and the signed rank test to investigate whether the engineers can conclude that the average soil compre

Probability and Statistics for Engineers and Scientists 4
Ocular Motor Measurements DS 9.7.5 contains the data from an experiment in which a group of 10 subjects had their ocular motor measurements recorded after they had been reading a book for an hour and also after they had been reading a computer screen for an hour. Use the sign test and the signed ran

Probability and Statistics for Engineers and Scientists 4
Engine Oil Viscosity Oil viscosity values obtained from two engines are given in DS 9.7.6. Use the rank sum test to assess whether there is any evidence that the engines have different effects on the oil viscosity.

Probability and Statistics for Engineers and Scientists 4
Insertion Gains of Hearing Aids Data collected on the insertion gain of a hearing aid for a constant noise stimulus placed at the horizontal level of the ear of a subject, placed above the horizontal level, and placed below the horizontal level are shown in DS 11.5.6. Use the Kruskal-Wallis test to a

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Air Resistance Drag for Road Vehicles Data from wind tunnel tests performed on models of four different vehicle designs are shown in DS 11.5.7. What conclusions can you draw from this data set about the drags of the four different designs using the Kruskal-Wallis test?

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Leather Shrinkage Measurements The shrinkage measurements of leather for four different preparation methods are given in DS 11.5.8. What conclusions can you draw from this data set about the differences between the four different preparation methods using the Friedman test?

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Glass Fiber Reinforced Polymer Tensile Strengths Data set in DS 6.7.7.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Infant Blood Levels of Hydrogen Peroxide Data set in DS 6.7.8.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Paper Mill Operation of a Lime Kiln Data set in DS 6.7.9.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. River Salinity Levels Data set in DS 6.7.10.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Dew Point Readings from Coastal Buoys Data set in DS 6.7.11.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Brain pH Levels Data set in DS 6.7.12.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Silicon Dioxide Percentages in Ocean Floor Volcanic Glass Data set in DS 6.7.13.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Network Server Response Times Data set in DS 6.7.14.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Flowrates in Urban Sewer Systems Data set in DS 8.6.1.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Polymer Compound Densities Data set in DS 8.6.2.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Reinforced Cement Strengths Data set in DS 9.7.7.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Comparisons of Experimental Drug Therapies Data set in DS 9.7.8.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Rubber Seal Curing Methods Data set in DS 9.7.9.

Probability and Statistics for Engineers and Scientists 4
Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Light and Dark Regimens for Plant Growth Data set in DS 9.7.10.

Probability and Statistics for Engineers and Scientists 4
Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Joystick Design for Spinal Cord Injury Patients Data set in DS 9.7.11.

Probability and Statistics for Engineers and Scientists 4
Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Ambient Air Carbon Monoxide Pollution Levels Data set in DS 9.7.12.

Probability and Statistics for Engineers and Scientists 4
Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Sphygmomanometer and Finger Monitor Systolic Blood Pressure Measurements Data set in DS 9.7.13.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Metal Alloy Hardness Tests Data set in DS 11.5.9.

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Use the appropriate nonparametric methodologies from this chapter to analyze the data sets. Aquatic Radon Levels Data set in DS 11.5.10.

Probability and Statistics for Engineers and Scientists 4
Customer Churn Customer churn is a term used for the attrition of a companys customers. DS 9.7.17 contains information from an Internet service provider on the length of days that its customers were signed up before switching to another provider, and whether or not they were a returning customer (tha

Probability and Statistics for Engineers and Scientists 4
Mercury Levels in Coal DS 6.7.19 shows the mercury levels of coal samples that are taken periodically as the coal is mined further and further into the seam. Use the nonparametric methodologies described in this chapter to analyze this data set.