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Statistics 13th Global Edition James T. McClave And Terry T Sincich - Solutions
Service without a smile. Although “service with a smile”is a slogan that many businesses adhere to, there are some jobs (e.g., judges, law enforcement officers, pollsters) that require neutrality. An organization will typically provide“display rules” to guide employees on what emotions they
Ethnicity and pain perception. An investigation of ethnic differences in reports of pain perception was presented at the annual meeting of the American Psychosomatic Society (Mar. 2001). A sample of 55 blacks and 159 whites participated in the study. Subjects rated (on a 13-point scale) the
Mineral flotation in water study. Refer to the Minerals Engineering (Vol. 46–47, 2013) study of the impact of calcium and gypsum on the flotation properties of silica in water, Exercise 2.48 (p. 81). Fifty solutions of deionized water were prepared both with and without calcium/gypsum, and the
An experiment is conducted to compare the starting salaries of male and female college graduates who find jobs. Pairs are formed by choosing a male and a female with the same major and similar grade point averages (GPAs). Suppose a random sample of 10 pairs is formed in this manner and the starting
In a paired difference experiment, when should the observations be paired, before or after the data are collected? LO5
What are the advantages of using a paired difference experiment over an independent samples design? LO5
True or False. In a paired difference experiment, an independent sample t-test is appropriate. LO5
Is a paired difference experiment always superior to an independent LO5 samples experiment?
A paired difference experiment yielded nd pairs of observations.In each case, what is the rejection region for testing H0: md = 2 against Ha: md 7 2?a. nd = 10, a = .05 LO5b. nd = 20, a = .10c. nd = 5, a = .025d. nd = 9, a = .01
A paired difference experiment produced the following data:nd = 9 x1 = 150 x2 = 157 xd = -7 sd 2 LO5= 36a. Determine the values of t for which the null hypothesis m1 - m2 = 0 would be rejected in favor of the alternative hypothesis m1 - m2 6 0. Use a = .10.b. Conduct the paired difference test
The data for a random sample of six paired observations are shown in the following table.Pair Sample from Population 1 Sample from LO5 Population 2 1 7 4 2 3 1 3 9 7 4 6 2 5 4 4 6 8 7a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1.Use
The data for a random sample of 10 paired observations are shown in the following table. LO5 Pair Population 1 Population 2 1 19 24 2 25 27 3 31 36 4 52 53 5 49 55 6 34 34 7 59 66 8 47 51 9 17 20 10 51 55a. If you wish to test whether these data are sufficient to indicate that the mean for
A paired difference experiment yielded the following results:nd = 49, xd = 13, sd = 6. LO5a. Test H0: md = 10 against Ha: md 10, where md = 1m1 - m22. Use a = .05.b. Report the p-value for the test you conducted in part a.Interpret the p-value.
Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adolescents.Counselors develop a weight-management program for each camper that centers on nutrition education and physical activity. In a study published in Pediatrics(Apr. 2010), the body mass index (BMI)
Packaging of a children’s health food. Refer to the Journal of Consumer Behaviour (Vol. 10, 2011) study of packaging of a children’s health food product, Exercise 8.42 (p. 419). Recall that a fictitious brand of a healthy food product—sliced apples—was packaged to appeal to children (a
Twinned drill holes. A traditional method of verifying mineralization grades in mining is to drill twinned holes, i.e., the drilling of a new hole, or “twin,” next to an earlier drillhole. The use of twinned drill holes was investigated in Exploration and Mining Geology (Vol. 18,
Healing potential of handling museum objects. Does handling a museum object have a positive impact on a sick patient’s well-being? To answer this question, researchers at the University College London collected data from 32 sessions with hospital patients (Museum & Society, Nov.2009). Each
Laughter among deaf signers. The Journal of Deaf Studies and Deaf Education (Fall 2006) published an article on vocalized laughter among deaf users of American Sign Language (ASL). In videotaped ASL conversations among deaf participants, 28 laughed at least once. The researchers wanted to know if
The placebo effect and pain. According to research published in Science (Feb. 20, 2004), the mere belief that you are receiving an effective treatment for pain can reduce the pain you actually feel. Researchers tested this placebo effect on 24 volunteers as follows: Each volunteer was put inside a
Solar energy generation along highways. The potential of using solar panels constructed above national highways to generate energy was explored in the International Journal of Energy and Environmental Engineering (Dec. 2013).Two-layer solar panels (with 1 meter separating the panels)were
Estimating well scale deposits. Scale deposits can cause a serious reduction in the flow performance of a well.A study published in the Journal of Petroleum and Gas Engineering (Apr. 2013) compared two methods of estimating the damage from scale deposits (called skin factor).One method of
Acidity of mouthwash. Acid has been found to be a primary cause of dental caries (cavities). It is theorized that oral mouthwashes contribute to the development of caries due to the antiseptic agent oxidizing into acid over time. This theory was tested in the Journal of Dentistry, Oral Medicine and
Visual search and memory study. In searching for an item(e.g., a roadside traffic sign, a lost earring, or a tumor in a mammogram), common sense dictates that you will not reexamine items previously rejected. However, researchers at Harvard Medical School found that a visual search has no memory
Linking dementia and leisure activities. Does participation in leisure activities in your youth reduce the risk of Alzheimer’s disease and other forms of dementia? To answer this question, a group of university researchers studied a sample of 107 same-sex Swedish pairs of twins(Journal of
Ethical sensitivity of teachers toward racial intolerance.Many high schools have education programs that encourage teachers to embrace racial tolerance. To gauge the effectiveness of one such program that utilizes two videos of teachers engaging in racial stereotypes of their students, researchers
Impact of red light cameras on car crashes. To combat redlight- LO5 running crashes, many states are adopting photo-red enforcement programs. In these programs, red light cameras installed at dangerous intersections photograph the license plates of vehicles that run the red light. How effective are
Alcoholic fermentation in wines. Determining alcoholic fermentation in wine is critical to the wine-making process.Must/wine density is a good indicator of the fermentation point, since the density value decreases as sugars are converted into alcohol. For decades, winemakers have measured must/wine
In the past decade, intensive antismoking campaigns have been sponsored by both federal and private agencies. Suppose the American Cancer Society randomly sampled 1,500 adults in 2000 and then sampled 1,750 adults in 2010 to determine whether there was evidence that the percentage of smokers had
Use a statistical software package to conduct the test presented in Example LO59.6.Find and interpret the p-value of the test.
What conditions are required for valid large-sample inferences LO5 about p1 - p2?
What is the problem with using the z-statistic to make inferences about p1 - p2 when the sample sizes are both small? LO5
Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 LO5 binomial trials.a. Describe the distributions of x1 and x2.b. For large samples, describe the sampling distribution of 1pn 1 - pn 22.
In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution of LO5 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 =
Construct a 95% confidence interval for 1p1 - p22 in each of the following situations:a. n1 = 300, pn LO5 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
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 -
Random samples of size n1 = 60 and n2 = 50 were drawn from populations 1 and 2, respectively. The samples yielded pn 1 = .8 and pn LO5 2 = .6. Test H0: 1p1 - p22 = .1 against Ha: 1p1 - p22 7 .1, using a = .05.
Sketch the sampling distribution of 1pn 1 - pn 22 based on independent random samples of n1 = 200 and n2 = 100 observations from two binomial populations with probabilities LO5 of success p1 = .5 and p2 = .9, respectively.
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 LO5 at Dutch
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
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
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
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 LO5 a designed study, Web users were directed to participate in
Planning-habits survey. American Demographics (Jan.2002) reported the results of a survey on the planning LO5 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
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? LO5 Researchers from the United States Department of Agriculture (USDA) conducted
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
Traffic sign maintenance. The Federal Highway Administration LO5(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
“Tip-of-the-tongue” study. Trying to think of a word you know, but can’t instantly retrieve, is called the LO5“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
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 LO5 the
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, LO5 Jan. 22, 2004). One hundred volunteers were divided into two equal-sized groups.
Religious symbolism in TV commercials. Gonzaga University professors conducted a study of television commercials and published their results in the Journal of LO5 Sociology, Social Work, and Social Welfare (Vol. 2, 2008).The key research question was: “Do television advertisers use religious
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
New fertilizer compounds are often advertised with the promise of increased crop yields. Suppose we want to compare the mean yield m1 of wheat when a new fertilizer is used with the mean yield m2 from a fertilizer in common use. The estimate of the difference in mean yield per acre is to be correct
A production supervisor suspects that a difference exists between the proportions p1 and p2 of defective items produced by two different machines.Experience has shown that the proportion defective for each of the two machines is in the neighborhood of .03. If the supervisor wants to estimate the
In determining the sample sizes for estimating m1 - m2, how do you obtain estimates of the population variances LO5 1s122 and 1s222 used in the calculations?
In determining the sample sizes for estimating p1 - p2, how do you obtain estimates of the binomial proportions LO5 p1 and p2 used in the calculations?
When will the sample size n1 = n2 = n be the largest, while determining the sample size of estimate of p1 - p2? LO5
Suppose you want to estimate the difference between two population means correct to within 3.2 with probability.95. If prior information suggests that the population variances are approximately equal to s1 2= s22= 10 and you LO5 want to select independent random samples of equal size from the
Find the appropriate values of n1 and n2 (assume that LO5 n1 = n2) needed to estimate 1m1 - m22 witha. A sampling error equal to 3.2 with 95% confidence.From prior experience, it is known that s1 ≈ 15 and s2 ≈ 17.b. A sampling error equal to 8 with 99% confidence. The range of each population
Assuming that n1 = n2, find the sample sizes needed to estimate 1p1 - p22 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
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 LO5 to construct a 95% confidence interval for 1p1 - p22 of width
Hygiene of handshakes, high fives, and fist bumps. Refer to the American Journal of Infection Control (Aug. 2014) study of the hygiene of hand greetings, Exercise 9.24 (p. 479). The LO5 number of bacteria transferred from a gloved hand dipped into a culture of bacteria to a second gloved hand
Influencing performance in a serial addition task. Refer to the Advances in Cognitive Psychology (Jan. 2013) study of influencing performance in a classic psychological test that involved adding a set of numbers, Exercise 9.66 (p. 499).Recall that one group of students saw each of the numbers for 2
Bulimia study. Refer to the American Statistician (May 2001) study comparing the “fear of negative evaluation”(FNE) scores for bulimic and normal female students, presented in Exercise 9.19 (p. 477). Suppose you want to estimate 1mB - mN2, the difference between the population means of the FNE
Laughter among deaf signers. Refer to the Journal of Deaf Studies and Deaf Education (Fall 2006) paired difference study on vocalized laughter among deaf users of sign language, presented in Exercise 9.44 (p. 490). Suppose you want to estimate md = 1mS - mA2, the difference between the population
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 9.72 (p. 500). Recall that half the LO5 patients were randomly assigned to get an angioplasty and
Last name and acquisition timing. Refer to the Journal of Consumer Research (Aug. 2011) study of the last name effect in acquisition timing, Exercise 9.14 (p. 476). Recall that the mean response times (in minutes) to acquire basketball tickets were compared for two groups of MBA students:those
Estimate a population parameter (mean, proportion, or variance) on the basis of a sample selected from the population (7.1) LO6
Use the sampling distribution of a statistic to form LO6 a confidence interval for the population parameter(7.2–7.4, 7.6)
Show how to select the proper sample size for estimating a population parameter (7.5) LO6 Inferences
LO6 Consider the large hospital that wants to estimate the average length of stay of its patients, m. The hospital randomly samples n = 100 of its patients and finds that the sample mean length of stay is x = 4.5 days. Also, suppose it is known that the standard deviation of the length of stay
Refer to Example 7.1 and the problem of estimating m, the average length of stay of a hospital’s patients. The lengths of stay (in days) for the n = 100 sampled patients are shown in Table 7.1. Use the data to find a 95% confidence interval for m and interpret the result.Table 7.1 Lengths of Stay
Define the target parameter. LO6
What is the confidence coefficient in a 90% confidence interval LO6 for m?
Explain the difference between an interval estimator and a LO6 point estimator for m.
Explain what is meant by the statement “We are 95% confident that an interval estimate contains m.” LO6
Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed?Explain. LO6 LO6
What conditions are required to form a valid large-sample confidence interval for m?
Find za>2 for each of the following: LO6a. a = .10b. a = .01c. a = .05d. a = .20
What is the confidence level of each of the following confidence intervals for m?a. x { 2.12a s LO6 1n bb. x { 1.69a s 1nc. x { 2.53a s 1n bd. x { 1.11a s 1n be. x { .04a s 1n b
A random sample of 86 observations produced a mean x = 26.1 and a standard deviation s = 2.6. LO6a. Find a 95% confidence interval for m.b. Find a 90% confidence interval for m.c. Find a 99% confidence interval for m.
A random sample of 100 observations from a normally distributed population possesses a mean equal to 76.7 and a standard deviation equal to 7.9. LO6a. Find a 90% confidence interval for m.b. What do you mean when you say that a confidence coefficient is .90?c. Find a 95% confidence interval for
The mean and standard deviation of a random sample of n measurements are equal to 33.5 and 3.5, respectively. LO6a. Find a 90% confidence interval for m if n = 144.b. Find a 90% confidence interval for m if n = 576.c. Find the widths of the confidence intervals found in parts a andb. What is the
Use the applet entitled Confidence Intervals for a Mean (the impact of confidence level) to investigate the situation in Exercise 7.11 further. For this exercise, assume that m = 83.2 is the population LO6 mean and s = 6.4 is the population standard deviation.a. Using n = 100 and the normal
Heart rate variability of police officers. The heart rate variability(HRV) of police officers was the subject of research published in the American Journal of Human Biology (Jan.2014). HRV is defined as the variation in the time intervals between heartbeats. A measure of HRV was obtained for each
Latex allergy in health care workers. Health care workers who use latex gloves with glove powder may develop LO6 a latex allergy. Symptoms of a latex allergy include conjunctivitis, hand eczema, nasal congestion, a skin rash, and shortness of breath. Each in a sample of 46 hospital employees who
Motivation of drug dealers. Refer to the Applied Psychology in Criminal Justice (Sept. 2009) study of the personality characteristics of drug dealers, Exercise 2.102(p. 105). Recall that each in a sample of 100 convicted drug dealers was scored on the Wanting Recognition (WR)Scale, which provides a
Albedo of ice melt ponds. Refer to the National Snow and Ice Data Center (NSIDC) collection of data on the albedo, depth, and physical characteristics of ice-melt ponds in the Canadian Arctic, presented in Exercise 2.15(p. 68). Albedo is the ratio of the light reflected by the ice LO6 to that
Evaporation from swimming pools. A new formula for estimating the water evaporation from occupied swimming pools was proposed and analyzed in the journal Heating/Piping/Air Conditioning Engineering (Apr. 2013). The LO6 key components of the new formula are number of pool occupants, area of pool’s
Facial structure of CEOs. In Psychological Science (Vol.22, 2011), researchers reported that a chief executive officer’s facial structure can be used to predict a firm’s financial performance. The study involved measuring the facial width-to-height ratio (WHR) for each in a sample of 55 CEOs at
Shopping on Black Friday. The day after Thanksgiving—called Black Friday—is one of the largest shopping days in the United States. Winthrop University researchers conducted interviews with a sample of 38 women shopping on Black Friday to gauge their shopping habits and reported the results in
Shell lengths of sea turtles. Refer to the Aquatic Biology(Vol. 9, 2010) study of green sea turtles inhabiting the Grand Cayman South Sound lagoon, Exercise 2.85 (p. 97).The data on curved carapace (shell) length, measured in centimeters, for 76 captured turtles are displayed in the LO6 table.
Colored string preferred by chickens. Animal behaviorists have discovered that the more domestic chickens peck at objects placed in their environment, the healthier the chickens seem to be. White string has been found to be a particularly attractive pecking stimulus. In one experiment, 72 chickens
Speed training in football. Researchers at Northern Kentucky University designed and tested a speed-training program for junior varsity and varsity high school football players (The Sport Journal, Winter 2004). Each in a sample of 38 high school athletes was timed in a 40-yard sprint prior to the
Study of undergraduate problem drinking. In Alcohol &Alcoholism (Jan./Feb. 2007), psychologists at the University of Pennsylvania compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor) they
The Raid test kitchen. According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers for S. C.Johnson & Son, Inc. (manufacturers of Raid® and Off®), 5,000 roaches (the expected number in a roach-infested house) were
Consider the pharmaceutical company that desires an estimate of the mean increase in blood pressure of patients who take a new drug. The blood pressure increases (measured in points) for the n = 6 patients in the human testing phase are shown in Table 7.4. Use this information to construct a 95%
State the two problems (and corresponding solutions) that arise with using a small sample to estimate m. LO6
Compare the shapes of the z- and t-distributions. LO6
Use the applet entitled Confidence Intervals for a Mean (the impact of not knowing the standard deviation) to compare proportions of z-intervals and t-intervals that contain the mean for a population that is normally distributed.a. Using n = 5 and the normal distribution with mean 50 and standard
Use the applet entitled Confidence Intervals for a Mean (the impact of not knowing the standard deviation) to compare proportions of z-intervals and t-intervals that contain the mean for a population with a skewed distribution.a. Using n = 5 and the right-skewed distribution with mean 50 and
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