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statistics for engineers and scientists
A First Course In Statistics 12th Edition James T McClave, Terry T Sincich - Solutions
Angioplasty’s benefits challenged. Refer to the study of patients with substantial blockage of the arteries presented at the 2007 Annual Conference of the American College of Cardiology, Exercise 8.18 (p. 481). Recall that half the patients were randomly assigned to get an angioplasty and half
Size of a political poll. A pollster wants to estimate the difference between the proportions of men and women who favor a particular national candidate using a 90% confidence interval of width .04. Suppose the pollster has no prior information about the proportions. If equal numbers of men and
Enough money has been budgeted to collect independent random samples of size n1 = n2 = 100 from populations 1 and 2 in order to estimate 1p1 - p22. Prior information indicates that p1 = p2 .4. Have sufficient funds been allocated to construct a 95% confidence interval for 1p1 - p22 of width .1 or
Assuming that n1 = n2, find the sample sizes needed to estimate(p1 - p2) for each of the following situations:a. SE = .01 with 99% confidence. Assume that p1 .4 and p2 .7.b. A 90% confidence interval of width .05. Assume there is no prior information available with which to obtain approximate
When will the sample size n1 = n2 = n be the largest, while determining the sample size of estimate of p1 - p2?Learning the Mechanics
Teeth defects and stress in prehistoric Japan. Linear enamel hypoplasia (LEH) defects are pits or grooves on the tooth surface that are typically caused by malnutrition, chronic infection, stress, and trauma. A study of LEH defects in prehistoric Japanese cultures was published in the American
Religious symbolism in TV commercials. Gonzaga University professors conducted a study of television commercials and published their results in the Journal of Sociology, Social Work, and Social Welfare (Vol. 2, 2008). The key research question was: “Do television advertisers use religious
Does sleep improve mental performance? Are creativity and problem solving linked to adequate sleep?This question was the subject of research conducted by German scientists at the University of Lübeck (Nature, Jan. 22, 2004). One hundred volunteers were divided into two equal-sized groups. Each
Vulnerability of relying party Web sites. When you sign on to your Facebook account, you are granted access to more than 1 million relying party (RP) Web sites. This single sign-on(SSO) scheme is enabled by OAuth 2.0, an open and standardized Web resource authorization protocol. Although the
“Tip-of-the-tongue” study. Trying to think of a word you know, but can’t instantly retrieve, is called the“tip-of-the-tongue” phenomenon. Psychology and Aging(Sept. 2001) published a study of this phenomenon in senior citizens. The researchers compared 40 people between 60 and 72 years of
Angioplasty’s benefits challenged. Each year, more than 1 million heart patients undergo an angioplasty.The benefits of an angioplasty were challenged in a recent study of 2,287 patients (2007 Annual Conference of the American College of Cardiology, New Orleans).All the patients had substantial
Traffic sign maintenance. The Federal Highway Administration(FHWA) recently issued new guidelines for maintaining and replacing traffic signs. Civil engineers at North Carolina State University conducted a study of the effectiveness of various sign maintenance practices developed to adhere to the
Study of armyworm pheromones. A study was conducted to determine the effectiveness of pheromones produced by two different strains of fall armyworms: the corn-strain and the rice-strain (Journal of Chemical Ecology, Mar. 2013).Both corn-strain and rice-strain male armyworms were released into a
Salmonella in produce. Salmonella is the most common type of bacterial food-borne illness in the United States. How prevalent is salmonella in produce grown in the major agricultural region of Monterey, California?Researchers from the United States Department of Agriculture (USDA) conducted tests
Planning-habits survey. American Demographics (Jan.2002) reported the results of a survey on the planning habits of men and women. In response to the question“What is your preferred method of planning and keeping track of meetings, appointments, and deadlines?” 56% of the men and 46% of the
Web survey response rates. Response rates to Web surveys are typically low, partially due to users starting but not finishing the survey. The factors that influence response rates were investigated in Survey Methodology (Dec. 2013). In a designed study, Web users were directed to participate in one
Influencing performance in a serial addition task. A classic psychological test involves adding a set of numbers (e.g., 1,000 + 40 + 1,000 + 30 + 1,000 + 20 + 1,000 + 10) to evaluate cognitive behavior. In a study published in Advances in Cognitive Psychology (Jan. 2013), undergraduate students
Hospital administration of malaria patients. One of the most serious health problems in India is malaria.Consequently, Indian hospital administrators must have the resources to treat the high volume of malaria patients that are admitted. Research published in the National Journal of Community
Is steak your favorite barbeque food? July is National Grilling Month in the United States. A Harris Poll reported on a survey of Americans’ grilling preferences.When asked about their favorite food prepared on a barbeque grill, 662 of 1,250 randomly sampled Democrats preferred steak, as compared
Bullying behavior study. School bullying is a form of aggressive behavior that occurs when a student is exposed repeatedly to negative actions (e.g., name-calling, hitting, kicking, spreading slander) from another student. In order to study the effectiveness of an antibullying policy at Dutch
Independent random samples, each containing 800 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 400 and 480 successes, respectively.a. Test H0: 1p1 - p22 = 0 against Ha: 1p1 - p22 0.Use a = .05.b. Test H0: 1p1 - p22 = 0 against Ha: 1p1 -
Construct a 95% confidence interval for 1p1 - p22 in each of the following situations:a. n1 = 300, pn 1 = .35; n2 = 400, pn 2 = .42b. n1 = 200, pn 1 = .69; n2 = 230, pn 2 = .75c. n1 = 120, pn 1 = .54; n2 = 120, pn 2 = .39
In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution of 1pn 1 - pn 22 is approximately normal.a. n1 = 12, n2 = 10, pn 1 = .50, pn 2 = .50b. n1 = 12, n2 = 10, pn 1 = .90, pn 2 = .02c. n1 = n2 = 40, pn 1 = .80, pn 2 = .70d. n1 = 200, n2 = 100,
Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 binomial trials.a. Describe the distributions of x1 and x2.b. For large samples, describe the sampling distribution of 1pn 1 - pn 22.Learning the Mechanics
Self-managed work teams and family life. To improve quality, productivity, and timeliness, more and more American industries are utilizing self-managed work teams (SMWTs). A team typically consists of 5 to 15 workers who are collectively responsible for making decisions and performing all tasks
MS and exercise study. A study published in Clinical Kinesiology (Spring 1995) was designed to examine the metabolic and cardiopulmonary responses during exercise of persons diagnosed with multiple sclerosis (MS).Leg-cycling and arm-cranking exercises were performed by 10 MS patients and 10 healthy
Testing electronic circuits. Japanese researchers have developed a compression–depression method of testing electronic circuits based on Huffman coding (IEICE Transactions on Information & Systems, Jan. 2005). The new method is designed to reduce the time required for input decompression and
Swim maze study. Merck Research Labs used the single-T swim maze to conduct an experiment to evaluate the effect of a new drug. Nineteen impregnated dam rats were allocated a dosage of 12.5 milligrams of the drug. One male and one female rat pup were randomly selected from each resulting litter to
Pig castration study. Two methods of castrating male piglets were investigated in Applied Animal Behaviour Science (Nov. 1, 2000). Method 1 involved an incision in the spermatic cords, while Method 2 involved pulling and severing the cords. Forty-nine male piglets were randomly allocated to one of
Light-to-dark transition of genes. Synechocystis, a type of bacterium that can grow and survive under a wide range of conditions, is used by scientists to model DNA behavior.In the Journal of Bacteriology (July 2002), scientists isolated genes of the bacterium responsible for photosynthesis and
Identical twins reared apart. Because they share an identical genotype, twins make ideal subjects for investigating the degree to which various environmental conditions affect personality. The classical method of studying this phenomenon, and the subject of a book by Susan Farber(Identical Twins
Mongolian desert ants. Refer to the Journal of Biogeography (Dec. 2003) study of ants in Mongolia (central Asia), presented in Exercise 2.68 (p. 87). Recall that botanists placed seed baits at 5 sites in the Dry Steppe region and 6 sites in the Gobi Desert and observed the number of ant species
Reading tongue twisters. According to Webster’s New World Dictionary, a tongue twister is “a phrase that is hard to speak rapidly.” Do tongue twisters have an effect on the length of time it takes to read silently? To answer this question, 42 undergraduate psychology students participated in
Patent infringement case. Chance (Fall 2002) described a lawsuit charging Intel Corp. with infringing on a patent for an invention used in the automatic manufacture of computer chips. In response, Intel accused the inventor of adding material to his patent notebook after the patent was witnessed
Animal-assisted therapy for heart patients. Refer to the American Heart Association Conference (Nov. 2005) study to gauge whether animal-assisted therapy can improve the physiological responses of heart failure patients, presented in Exercise 2.112 (p. 102). Recall that a sample of n = 26 heart
Environmental impact study. Some power plants are located near rivers or oceans so that the available water can be used to cool the condensers. Suppose that, as part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of
College tennis recruiting with a team Web site. Most university athletic programs have a Web site with information on individual sports and a Prospective Student Athlete Form that allows high school athletes to submit information about their academic and sports achievements directly to the college
Short Message Service for cell phones. Short Message Service (SMS) is the formal name for the communication service that allows the interchange of short text messages between mobile telephone devices. Over 75% of mobile phone subscribers worldwide send or receive SMS text messages. Consequently,
Effect of altitude on climbers. Dr. Philip Lieberman, a neuroscientist at Brown University, conducted a field experiment to gauge the effect of high altitude on a person’s ability to think critically. The subjects of the experiment were five males who took part in an American expedition climbing
Rating service at five-star hotels. A study published in the Journal of American Academy of Business, Cambridge(Mar. 2002) examined whether the perception of the quality of service at five-star hotels in Jamaica differed by gender. Hotel guests were randomly selected from the lobby and restaurant
Oil spill impact on seabirds. Refer to the Journal of Agricultural, Biological, and Environmental Statistics(Sept. 2000) study of the impact of a tanker oil spill on the seabird population in Alaska, presented in Exercise 2.205 (p. 135). Recall that for each of 96 shoreline locations(called
NHTSA new car crash tests. Refer to the National Highway Traffic Safety Administration (NHTSA) crash test data on new cars, saved in the CRASH file. Crash test dummies were placed in the driver’s seat and front passenger’s seat of a new car model, and the car was steered by remote control into
Treating depression with St. John’s wort. The Journal of the American Medical Association (Apr. 18, 2001) published a study of the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trial, 200 patients
Two independent random samples produced the measurements listed in the next table. Do the data provide sufficient evidence to conclude that there is a difference between the locations of the probability distributions for the sampled populations? Test, using a = .05.Sample 1 Sample 2 1.2 1.0 1.5 1.9
A random sample of nine pairs of observations is recorded on two variables x and y. The data are shown in the following table. Do the data provide sufficient evidence to indicate that the probability distribution for x is shifted to the right of that for y? Test, using a = .05.Pair x y 1 19 12 2 27
Treating depression with St. John’s wort. The Journal of the American Medical Association (Apr. 18, 2001) published a study of the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trial, 200 patients
A random sample of five pairs of observations was selected, one observation from a population with mean m1, the other from a population with mean m2. The data are shown in the following table.Pair Value from Population 1 Value from Population 2 1 28 22 2 31 27 3 24 20 4 30 27 5 22 20a. Test the
Two independent random samples are taken from two populations. The results of these samples are summarized in the following table.Sample 1 Sample 2 n1 = 148 n2 = 135 xQ 1 = 15.2 xQ 2 = 11.3 s1 2 = 3.0 s2 2 = 2.0a. Form a 90% confidence interval for 1m1 - m22.b. Test H0: 1m1 - m22 = 0 against Ha:
An independent samples design is utilized to compare four treatment means. The data are shown in the accompanying table.a. Given that SST = 36.95 and SS1Total2 = 62.55, complete an ANOVA table for this experiment.b. Is there evidence that the treatment means differ? Use a = .10.Treatment 1
Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are shown in the following table.Sample 1 Sample 2 n1 = 14 n2 = 12 xQ 1 = 19.8 xQ 2 = 17.3 s1 2 = 60.5 s2 2 = 74.2a. Test H0: m1 - m2 = 0
List the assumptions necessary for each of the following inferential techniques:a. Large-sample inferences about the difference 1m1 - m22 between population means, using a two- sample z-statisticb. Small-sample inferences about 1m1 - m22, using an independent samples design and a two-sample
Animal-assisted therapy for heart patients. Refer to the American Heart Association Conference (Nov. 2005) study to gauge whether animal-assisted therapy can improve the physiological responses of heart failure patients, presented in Exercise 2.112 (p. 102). Recall that 76 heart patients were
The “name game.” Psychologists evaluated three methods of name retrieval in a controlled setting (Journal of Experimental Psychology—Applied, June 2000). A sample of 139 students was randomly divided into three groups, and each group of students used a different method to learn the names of
Is honey a cough remedy? Pediatric researchers carried out a designed study to test whether a teaspoon of honey before bed calms a child’s cough and published their results in Archives of Pediatrics and Adolescent Medicine (Dec.2007). (This experiment was first described in Exercise 2.40, p. 75).
Restoring self-control when intoxicated. Does coffee or some other form of stimulation really allow a person suffering from alcohol intoxication to “sober up”? Psychologists investigated the matter in Experimental and Clinical Psychopharmacology (Feb. 2005). A sample of 44 healthy male college
Effects of temperature on ethanol production. A lowcost and highly productive bio-fuel production method is high-temperature fermentation. However, heat stress can inhibit the amount of ethanol produced during the process.In Engineering Life Sciences (Mar. 2013), biochemical engineers carried out a
Improving driving performance while fatigued. Can a secondary task—such as a word association task— improve your performance when driving while fatigued? This was the question of interest in a Human Factors (May 2014)study. The researchers used a driving simulator to obtain their data. Each of
Study of recall of TV commercials. Do TV shows with violence and sex impair memory for commercials? To answer this question, researchers conducted a designed experiment in which 324 adults were randomly assigned to one of three viewer groups of 108 participants each(Journal of Applied Psychology,
Soil scouring and overturned trees. Trees that grow in flood plains are susceptible to overturning. This is typically due to floodwaters exposing the tree roots(called soil scouring). Environmental engineers at Saitama University (Japan) investigated the impact of soil scouring on the
Robots trained to behave like ants. Robotics researchers investigated whether robots could be trained to behave like ants in an ant colony (Nature, Aug. 2000). Robots were trained and randomly assigned to “colonies” (i.e., groups) consisting of 3, 6, 9, or 12 robots. The robots were assigned
Evaluation of flexography printing plates. Flexography is a printing process used in the packaging industry. The process is popular because it is cost-effective and can be used to print on a variety of surfaces (e.g., paperboard, foil, and plastic). A study was conducted to determine if flexography
Does the media influence your attitude toward tanning?Dermatologists’ primary recommendation to prevent skin cancer is minimal exposure to the sun. Yet models used in product advertisements are typically well-tanned. Do such advertisements influence a consumer’s attitude toward tanning?
Whales entangled in fishing gear. Entanglement of marine mammals (e.g., whales) in fishing gear is considered a significant threat to the species. A study published in Marine Mammal Science (Apr. 2010) investigated the type of net most likely to entangle a certain species of whale inhabiting the
Treating cancer with yoga. According to a study funded by the National Institutes of Health, yoga classes can help cancer survivors sleep better. The study results were presented at the June 2010 American Society of Clinical Oncology’s annual meeting. Researchers randomly assigned 410 cancer
The data in the following table resulted from an experiment that utilized a completely randomized design:Treatment 1 Treatment 2 Treatment 3 3.9 5.4 1.3 1.4 2.0 .7 4.1 4.8 2.2 5.5 3.8 2.3 3.5a. Use statistical software (or the formulas in Appendix B)to complete the following ANOVA table:Source df
Consider dot plots A and B shown below. Assume that the two samples represent independent random samples corresponding to two treatments in a completely randomized design.a. In which dot plot is the difference between the sample means small relative to the variability within the sample
True or False. The ANOVA method is robust when the assumption of normality is not exactly satisfied in a completely randomized design.Learning the Mechanics
What conditions are required for a valid ANOVA F-test?
Bowler’s hot hand. Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? An investigation into the phenomenon of a“hot hand” in bowling was published in The American Statistician (Feb. 2004). Frame-by-frame results were collected on 43
Treatment for tendon pain. In a British Journal of Sports Medicine (Feb. 1, 2004) study of chronic Achilles tendon pain, each in a sample of 25 patients with chronic Achilles tendinosis was treated with heavy-load eccentric calf muscle training. Tendon thickness (in millimeters) was measured both
Neurological impairment of POWs. Eleven prisoners of war during the war in Croatia were evaluated for neurological impairment after their release from a Serbian detention camp (Collegium Antropologicum, June 1997).All 11 experienced blows to the head and neck and/or loss of consciousness during
Food availability at middle schools. Most schools offer a la carte food items in the cafeteria for students at lunch. To encourage students to eat healthfully, the U.S.Department of Agriculture (USDA) requires schools to offer nutritional food items. Two methods for identifying and quantifying food
Sea turtles and beach nourishment. According to the National Oceanic and Atmospheric Administration’s Office of Protected Species, sea turtle nesting rates have declined in all parts of the southeastern United States over the past 10 years. Environmentalists theorize that beach nourishment may
Ethical sensitivity of teachers towards racial intolerance.Refer to the Journal of Moral Education (Mar. 2010) study of the effectiveness of a program to encourage teachers to embrace racial tolerance, Exercise 7.50 (p. 422). Recall that the level of racial tolerance was measured for each teacher
Solar energy generation along highways. Refer to the International Journal of Energy and Environmental Engineering (Dec. 2013) study of solar panels constructed above national highways to generate energy, Exercise 7.45(p. 421). Recall that solar panels were constructed above sections of both
Reading comprehension strategies of elementary school children. An investigation of the reading comprehension strategies employed by good and average elementary school readers was the topic of research published in The Reading Matrix (Apr. 2004). Both good and average readers were recruited on the
Impact of red light cameras on car crashes. Refer to the June 2007 Virginia Department of Transportation (VDOT)study of a newly adopted photo-red-light enforcement program, Exercise 7.51 (p. 422). Recall that the VDOT provided crash data both before and after installation of red light cameras at
Healing potential of handling museum objects. Refer to the Museum & Society (Nov. 2009) study of the healing potential of handling museum objects, Exercise 7.41 (p. 420). Recall that the health status of each of 32 hospital patients was recorded both before and after handling a museum object (such
Settlement of shallow foundations. Refer to the Environmental & Engineering Geoscience (Nov. 2012) study of the settlement of structures built on shallow foundations, Exercise 7.44 (p. 420). Recall that actual settlement data(measured in millimeters) for a sample of 13 structures built on a shallow
Treating psoriasis with the “Doctorfish of Kangal.” Refer to the Evidence-Based Research in Complementary and Alternative Medicine (Dec. 2006) study of treating psoriasis with ichthyotherapy, presented in Exercise 2.146 (p. 116).(Recall that the therapy is also known as the “Doctorfish of
Suppose you wish to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the responses for A tend to be larger than those for B.a. If the number of pairs equals 25, give the rejection region for the large-sample Wilcoxon signed rank test for a = .05.b. Suppose
Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative hypothesis that the responses for A tend to be larger than those for B.You plan to use a paired difference experiment and to analyze the resulting data with the Wilcoxon signed rank
Specify the test statistic and the rejection region for the Wilcoxon signed rank test for the paired difference design in each of the following situations:a. H0: Two probability distributions, A and B, are identical Ha: The probability distribution for population A is shifted to the right or left
In order to conduct the Wilcoxon signed rank test, why do we need to assume that the probability distribution of differences is continuous?Learning the Mechanics
Family involvement in homework. A study of the impact of the interactive Teachers Involve Parents in Schoolwork (TIPS) program was published in the Journal of Educational Research (July/Aug. 2003). A sample of 128 middle school students were assigned to complete TIPS homework assignments, while 98
Perceptions of emergency medical residents. The United States currently has over 180 residents in Emergency Medicine (EM). The perceptions of these EM residents on the training of medical students were investigated in the Education in Medicine Journal (June 2012). A key question was if these
Teamwork between nurses and doctors. In the treatment of critically ill patients, teamwork among health care professionals is essential. What is the level of collaboration between nurses and resident doctors working in the intensive care unit (ICU)? This was the question of interest in an article
Does rudeness really matter in the workplace? Refer to the Academy of Management Journal (Oct. 2007) study on rudeness in the workplace, Exercise 7.24 (p. 409).Recall that 98 college students enrolled in a management course were randomly assigned to one of two experimental conditions: rudeness
Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a children’s cough remedy, Exercise 2.40(p. 75). Recall that 70 children who were ill with an upper respiratory tract infection were given either a dosage of dextromethorphan
Guided bone regeneration. A new method of guided bone regeneration was evaluated in the Journal of Tissue Engineering (Vol. 3, 2012). The method involves attaching a titanium plate and silicon membrane to the underlying bone using titanium screws. After 1 week the titanium plate is elevated,
Children’s recall of TV ads. Refer to the Journal of Advertising(Spring 2006) study of children’s recall of television advertisements, presented in Exercise 7.15 (p. 407). Two groups of children were shown a 60-second commercial for Sunkist Fun Fruit Rock-n-Roll Shapes. One group(the A/V group)
Bursting strength of bottles. Polyethylene terephthalate(PET) bottles are used for carbonated beverages. A critical property of PET bottles is their bursting strength (i.e., the pressure at which bottles filled with water burst when pressurized). In the Journal of Data Science (May 2003),
The X-Factor in golf performance. Many golf teaching professionals believe that a greater hip-to-shoulder differential angle during the early downswing—dubbed the“X-Factor”—leads to improved golf performance. The Journal of Quantitative Analysis in Sports (Vol. 5, 2009)published an article
Gender attitudes toward corruption and tax evasion. Do men and women differ in their attitudes toward public corruption and tax evasion? This was the question of interest in a study published in Contemporary Economic Policy(Oct. 2010). The data for the analysis were obtained from a representative
Use of text messaging in class. Is text messaging the preferred option for students’ communication with their professor? This was the question of interest in a study published in Chemical Engineering Education (Spring 2012).Students in two sections of a chemical engineering class participated in
Inflammation in children. A study published in the American Journal of Physical Anthropology (May 2014)compared the level of inflammation of boys and girls residing in rural Nepal. The C-reactive protein level (a measure of inflammation called CRP, in milligrams per liter) was determined for each
Independent random samples are selected from two populations.The data are shown in the following table.Sample 1 Sample 2 15 16 5 9 5 10 13 12 8 10 12 8 9 4a. Use the Wilcoxon rank sum test to determine whether the data provide sufficient evidence to indicate a shift in the locations of the
Random samples of sizes n1 = 16 and n2 = 12 were drawn from populations 1 and 2, respectively. The measurements obtained are listed in the table.Sample 1 Sample 2 9.0 15.6 25.6 31.1 10.1 11.1 13.5 21.1 26.9 24.6 20.0 12.0 18.2 10.3 24.8 16.5 26.0 25.1 9.2 7.0 14.2 17.2 30.1 18.7 26.1 15.8 13.6
Suppose you wish to compare two treatments, A and B, on the basis of independent random samples of 15 observations selected from each of the two populations. If T1 = 173, do the data provide sufficient evidence to indicate that distribution A is shifted to the left of distribution B? Test, using a
Suppose you want to compare two treatments, A and B. In particular, you wish to determine whether the distribution for population B is shifted to the right of the distribution for population A. You plan to use the Wilcoxon rank sum test.a. Specify the null and alternative hypotheses you would
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