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Introductory Statistics 10th Edition Neil A. Weiss - Solutions

Determine the two F-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas for an F-curve with a. df = (7, 4). b. df = (12, 20). Use Table VIII and, if necessary, the reciprocal property of F-curves to find the required F-values. Illustrate your work
Determine the two F-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for an F-curve with a. df = (10, 8). b. df = (12, 12). Use Table VIII and, if necessary, the reciprocal property of F-curves to find the required F-values. Illustrate your work
Give two situations in which comparing two population standard deviations would be important.
One year at Arizona State University, the algebra course director decided to experiment with a new teaching method that might reduce variability in final-exam scores by eliminating lower scores. The director randomly divided the algebra students who were registered for class at 9:40 A.M. into two
Researchers S. Reilly et al. studied the indicators of stuttering onset and the potential effects that stuttering may have on a child in the article "Natural History of Stuttering to 4 Years of Age: A Prospective Community-Based Study" (Pediatrics, Vol. 132, Issue 3, pp. 460-467). The following
Refer to Exercise 11.66 and find an 80% confidence interval for the ratio of the population standard deviations of CSBS scores for stutterers and nonstutterers in the age group under consideration.To obtain the required confidence interval.
In the article "Reduction in Red Blood Cells Transfusions Among Preterm Infants: Results of a Randomized TrialWith an In-Line Blood Gas and Chemistry Monitor" (Pediatrics, Vol. 115, Issue 5, pp. 1299-1306), J. Widness et al. examined extremely premature infants who develop anemia caused by
Use the technology of your choice to conduct the simulation discussed in Example 11.13 on page 530.
Refer to Example 11.14 on pages 532-533. Use Table VIII to show that the P-value for the hypothesis test exceeds 0.20.
Consider aχ2-curve with df = 8. Obtain the χ2-value that has area a. 0.01 to its left. b. 0.95 to its left. Find the required χ2-values. Illustrate your work graphically.
The two F-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas Use Table VIII in Appendix A to find the required F-value(s) for an F-curve with df = (4, 8).
IQs measured on the Stanford Revision of the Binet-Simon Intelligence Scale are supposed to have a standard deviation of 16 points. Twenty-five randomly selected people were given the IQ test; here are the data that were obtained.Preliminary data analyses and other information indicate the
Researcher P. Paronuzzi modeled the effects of a rock wall collapsing on a slope in the article "Rockfall-Induced Block Propagation on a Soil Slope, Northern Italy" (Environmental Geology, Vol. 58, No. 7, pp. 1451-1466). One of the variables measured was the distance that a rock block rebounded
A study entitled "Body Composition of Elite Class Distance Runners" was conducted by M. Pollock et al. to decide whether elite distance runners are thinner than other people. Their results were published in The Marathon: Physiological, Medical, Epidemiological, and Psychological Studies, P. Milvey
Fill in the blanks. a. A χ2-curve is ________ skewed. b. A χ2-curve looks increasingly like a ________ curve as the number of degrees of freedom becomes larger.
The effect of laughter was studied in the article "Energy Expenditure of Genuine Laughter" (International Journal of Obesity, Vol. 31, pp. 131-137) by M. Buchowski et al. Subjects were split into groups of two males, one male and one female, or two females. The subjects viewed film clips intended
At the beginning of this chapter, we discussed rubber-edge manufacturing for speaker woofer drivers and a criterion for classifying process capability. Recall that each process for manufacturing rubber edges requires a production weight specification that consists of a lower specification limit
In the New York Times article "College Graduates Fare Well in Jobs Market, Even through Recession," C. Rampell noted that college graduates have suffered through the recession and lackluster recovery with remarkable resilience. Of a random sample of 1020 college graduates, 35 were unemployed; and
Since 1973, Gallup has asked Americans how much confidence they have in a variety of U.S. institutions. One question asked of those polled is whether they have a great deal of confidence in banks. In 2007, of a random sample of 1008 adult Americans, 413 said yes; and, in 2013, of a random sample of
Suppose that you can make reasonably good educated guesses, pÌ‚1g and pÌ‚2g, for the observed values of pÌ‚1 and pÌ‚2.a. Use your result from Exercise 12.132 to show that a (1 ˆ’ Î±)-level confidence interval for the difference
Refer to the study on ordering vegetarian considered in Examples 12.8-12.10. a. Obtain the margin of error for the estimate of the difference between the proportions of men and women who sometimes order veg by taking half the length of the confidence interval found in Example 12.10 on page 567.
Refer to the study on ordering vegetarian considered in Examples 12.8-12.10. a. Without making a guess for the observed values of the sample proportions, find the common sample size that will ensure a margin of error of at most 0.01 for a 90% confidence interval. b. Find a 90% confidence interval
Repeat Exercise 12.136 by applying the formula in Exercise 12.134(a) if you can reasonably presume that at most 41% of the men sampled and at most 49% of the women sampled will be people who sometimes order veg. Compare the results obtained in Exercise 12.136 to those obtained here. Refer to the
FromWikipedia's on-line document "List of First Overall NBA Draft Picks," we found that, since 1947, 10.4% of the number-one draft picks in the National Basketball Association have been other than U.S. nationals. a. Identify the population. b. Identify the specified attribute. c. Is the proportion
From the U.S. Census Bureau document America's Families and Living Arrangements and an article in Time magazine, we found that, in 1963, 83.0% of American women between the ages of 25 and 54 were married, compared to 64.6% in 2010. a. For 2010, identify the population. b. For 2010, identify the
1. Margin of error = 0.01; confidence level = 95% 2. Margin of error = 0.02; confidence level = 95% 3. Margin of error = 0.02; confidence level = 90% We have specified a margin of error and a confidence level. For each exercise, obtain a sample size that will ensure a margin of error of at most the
Margin of error = 0.01; confidence level = 95%; educated guess = 0.3 a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess). b. Compare your answer to
Margin of error = 0.02; confidence level = 95%; educated guess = 0.6a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess).b. Compare your answer to the
Margin of error = 0.02; confidence level = 90%; educated guess = 0.1a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess).b. Compare your answer to the
Margin of error = 0.01; confidence level = 90%; educated guess = 0.9a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess).b. Compare your answer to the
Margin of error = 0.03; confidence level = 99%; educated guess = 0.5a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess).b. Compare your answer to the
Margin of error = 0.04; confidence level = 99%; educated guess = 0.5a. Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5 than the educated guess).b. Compare your answer to the
Margin of error = 0.01; confidence level = 95%; likely range = 0.2 to 0.4 We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
Margin of error = 0.02; confidence level = 95%; likely range = 0.4 to 0.7 We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
Margin of error = 0.02; confidence level = 90%; likely range = 0.2 or less We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
Margin of error = 0.01; confidence level = 90%; likely range = 0.7 or greater We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
Margin of error = 0.03; confidence level = 99%; likely range = 0.4 or greater We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
Margin of error = 0.04; confidence level = 99%; likely range = 0.7 or less We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one
In a HuffPost Style and YouGov poll, 1000 U.S. adults were asked about their online vs. in-store clothes shopping. One finding was that 32% of respondents never clothes-shop online. Find and interpret a 95% confidence interval for the proportion of all U.S. adults who never clothes-shop online.Find
In a nationwide survey, conducted by Pulse Opinion Research, LLC for Rasmussen Reports, 1000 American adults were asked, among other things, whether they drink alcoholic beverages at least once a week; 38% said "yes." Determine and interpret a 95% confidence interval for the proportion, p, of all
During one year, the U.S. Environmental Protection Agency reported that concentrated animal feeding operations (CAFOs) dump 2 trillion pounds of waste into the environment annually, contaminating the ground water in 17 states and polluting more than 35,000 miles of our nation's rivers. In a survey
During one year, Malaysia was the site of an encephalitis outbreak caused by the Nipah virus, a paramyxovirus that appears to spread from pigs to workers on pig farms. As reported by K. Goh et al. in the paper "Clinical Features of Nipah Virus Encephalitis among Pig Farmers in Malaysia" (New
In a nationwide survey, conducted by Pulse Opinion Research, LLC for Rasmussen Reports, a sample of American adults were asked whether they favor a plan to break up the 12 megabanks, which currently control about 69% of the banking industry; 50% of those sampled responded in the affirmative.
Regarding the phrase "number of successes":a. For what is it an abbreviation?b. What symbol is used for it?
Refer to Exercise 12.52.a. Find the margin of error for the estimate of p.b. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without making a guess for the observed value of p̂.c. Find a 95% confidence interval for p if, for a sample of the
Refer to Exercise 12.53.a. Find the margin of error for the estimate of the percentage.b. Obtain a sample size that will ensure a margin of error of at most 1.5 percentage points for a 99% confidence interval without making a guess for the observed value of p̂.c. Find a 99% confidence interval for
Refer to Exercise 12.54.a. Find the margin of error for the estimate of the percentage.b. Obtain a sample size that will ensure a margin of error of at most 5 percentage points for a 90% confidence interval without making a guess for the observed value of p̂.c. Find a 90% confidence interval for p
A poll conducted by Gallup in December 2013 asked a sample of American adults whether they approved of the way President Obama was doing his job; 42% said yes, with a margin of error of plus or minus 3 percentage points. During that same time period, Quinnipiac University asked the same question of
In discussing the sample size required for obtaining a confidence interval with a prescribed confidence level and margin of error, we made the following statement: "If we have in mind a likely range for the observed value of p̂, then, in light of Fig. 12.1, we should take as our educated guess for
For what is the phrase "number of failures" an abbreviation?
A poll by Gallup asked, "If you won 10 million dollars in the lottery, would you continue to work or stop working?" Of the 1039 American adults surveyed, 707 said that they would continue working. Obtain a 95% confidence interval for the proportion of all American adults who would continue working
In the February 2013 article "Offshore Drilling Support High as Deepwater Horizon Oil Spill Trial Opens," E. Swanson reported on a HuffPost and YouGov poll that asked Americans what they think about increased offshore drilling for oil and natural gas. Of the 1000 U.S. adults surveyed, 280 said that
Gallup conducted a national survey of 1008 American adults, asking "As you may know, as part of its efforts to investigate terrorism, a federal government agency obtained records from larger U.S. telephone and Internet companies in order to compile telephone call logs and Internet communications.
In 2010, shortly before that year's midterm elections, when Americans were dissatisfied with government and the Tea Party movement was emerging as a political force, 58% of American adults thought that a third major party was needed. In a recent Gallup poll, 60% of 1028 Americans felt the same way.
In 2012, 15.9% of all U.S. families had incomes below the poverty level, as reported by the U.S. Census Bureau in American Community Survey. During that same year, of 400 randomly selected Wyoming families, 50 had incomes below the poverty level. At the 5% significance level, do the data provide
In a national poll, 1053 U.S. adults were asked, "As you may know, Congress is considering a new economic stimulus package of at least 800 billion dollars. Do you favor or oppose Congress passing this legislation?" Of those sampled, 548 favored passage.a. At the 5% significance level, do the data
An international poll of physicians was conducted on the New England Journal of Medicine website asking "Do you believe that the overall medicinal benefits of marijuana outweigh the risks and potential harms?" Identify thea. Specified attribute.b. Population.c. Population proportion.d. Of the 1446
ABCNEWS.com published the results of a poll that asked U.S. adults whether they would get a smallpox shot if it were available. Sampling, data collection, and tabulation were done by TNS Intersearch of Horsham, Pennsylvania. When the risk of the vaccine was described in detail, 4 in 10 of those
As you learned on page 544, recent research by R. Brame et al. indicates that almost a third of Americans have been arrested by age 23, and this figure excludes arrests for minor traffic violations. Now that you have studied inferences for proportions, we ask you to conduct statistical analyses
A project exploring the bottled-water phenomenon and preference of water types was conducted by researchers M. Lunsford and A. Fink in the article "Water Taste Test Data" (Journal of Statistics Education, Vol. 18, No. 1). One hundred nine subjects participated in double-blind taste tests of three
Arabidopsis is a genus of flowering plant related to cabbage. A variegated mutant of the Arabidopsis has yellow streaks or marks. E. Miura et al. studied the origin of this variegated mutant in the article "The Balance between Protein Synthesis and Degradation in Chloroplasts Determines Leaf
One probability model for child gender is that a boy or a girl is equally likely to be born. If that model is correct, then, for a two-child family, the probabilities are 0.25, 0.50, and 0.25 of two girls, one girl and one boy, and two boys, respectively. W. Stansfield and M. Carlton examined data
According to Dave Leip's Atlas of U.S. Presidential Elections, in the 2012 presidential election, 51.01% of those voting voted for the Democratic candidate (Barack H. Obama), whereas 57.50% of those voting who lived in Illinois did so. For that presidential election, does an association exist
According to the document Physician Specialty Data Book, published by the Association of American Medical Colleges, in 2010, 12.9% of active male physicians specialized in internal medicine and 15.3% of active female physicians specialized in internal medicine. Does an association exist between the
The Current Population Survey from the U.S. Census Bureau provides data on school enrollment. The following contingency table shows school enrollment below postsecondary, in thousands, by level and gender.a. How many cells does this contingency table have? b. Fill in the missing entries. c. What is
The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is provided in the following contingency table. Frequencies are in thousands.a. Fill in the six missing
1. Four and five2. Five and threeWe have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 13.2 on page 600 be satisfied. Note: The number of
We have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x and y, of a population. For each exercise, perform the following tasks.a. Find the expected frequencies.b. Determine the value of the chi-square statistic.c. Decide at the 5%
For a χ2-curve with df = 4, determine a. χ20.005. b. χ20.01. Use Table VII to find the required χ2-values. Illustrate your work graphically.
In the article "When News Reporters Deceive: The Production of Stereotypes" (Journalism & Mass Communication Quarterly, Vol. 84, No. 2, pp. 281-298), researchers D. Lasorsa and J. Dai investigated the relationship between authenticity and tone for news stories. Tone was measured by using a method
In the article "Growing Pains and Fear of Gangs" (Applied Psychology in Criminal Justice, Vol. 5, No. 2, pp. 139-164), B. Brown and W. Benedict examined the relationship between worry about a gang attack and actually being a victim of a gang attack. Interviews of a sample of high school students
In the article "Correlates for Completion of 3-dose Regimen of HPV Vaccine in Female Members of a Managed Care Organization" (Mayo Clinical Proceedings, Vol. 84, pp. 864- 870), C. Chao et al. examined factors that may influence whether young female patients complete a three-injection sequence of
A worldwide poll on religion was conducted by WIN-Gallup International and published as the document Global Index of Religiosity and Atheism. One question involved religious belief and educational attainment. The following data is based on the answers to that question.a. At the 5% significance
Why is the phrase "goodness of fit" used to describe the type of hypothesis test considered in this section?
Although the chi-square homogeneity test and the chi-square independence test use essentially the same basic procedure, the context of the two tests are quite different. Explain the difference.
The U.S. Census Bureau compiles census data on educational attainment of Americans. From the document Current Population Survey, we obtained the 2010 distribution of educational attainment for U.S. adults 25 years old and older. Here is that distribution. Highest level Percentage Not HS
In the article "Happier and Less Isolated: Internet Use in Old Age" (Journal of Poverty & Social Justice, Vol. 21, Issue 1, pp. 33-45), researcher O. Lelkes explores the impact of Internet use. The following problem is based on the article. A random sample of adults yielded the following data on
The U.S. Census Bureau compiles information on money income of people by type of residence and publishes its finding in Current Population Reports. Independent simple random samples of people residing inside principal cities (IPC), outside principal cities but within metropolitan areas (OPC), and
Explain why a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test is always right tailed. Discuss.
The U.S. Census Bureau collects information on the U.S. population by ancestry and region of residence and publishes the results in American Community Survey. According to that document, 18% of the population resides in the Northeast. a. If ancestry and region of residence are not associated, what
At the beginning of this chapter, we presented a crossclassification of data on eye color and hair color collected as part of a class project by students in an elementary statistics course at the University of Delaware. a. Explain what itwould mean for an association to exist between eye color and
Are the observed frequencies variables? What about the expected frequencies? Explain your answers.
Self-concept can be defined as the general view of oneself in terms of personal value and capabilities. A study of whether visual impairment affects self-concept was reported in the article "An Exploration into Self Concept:AComparative Analysis between the Adolescents Who Are Sighted and Blind in
In the article "The Influence of Theme as Slot Machine Attribute on Casino Gamers Decision-Making" (American Journal of Applied Sciences, Vol. 10, No. 7, pp. 734-739), E. Wannenburg et al. explore the effects of theme on slot-machine gamers. Independent random samples of male and female slot gamers
A poll conducted by Gallup asked American adults about vegetarianism. This problem is based on that poll. Of independent random samples of 500 men and 512 women, 20 of the men and 36 of the women said they were vegetarians. At the 5% significance level do the data provide sufficient evidence to
P. Noakes et al. researched the effects of fatty acids found in oily fish on lowering the risk of allergic disease in the article "Increased Intake of Oily Fish in Pregnancy: Effects on Neonatal Immune Responses and on Clinical Outcomes in Infants at 6 Mo." (American Journal of Clinical Nutrition,
1. Sample size: n = 100. Relative frequencies: 0.65, 0.30, 0.05. 2. Sample size: n = 50. Relative frequencies: 0.65, 0.30, 0.05. We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2
1. Sample size: n = 50. Relative frequencies: 0.20, 0.20, 0.25, 0.30, 0.05. 2. Sample size: n = 50. Relative frequencies: 0.22, 0.21, 0.25, 0.30, 0.02. We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide
1. Sample size: n = 50. Relative frequencies: 0.22, 0.22, 0.25, 0.30, 0.01. 2. Sample size: n = 100. Relative frequencies: 0.44, 0.25, 0.30, 0.01. We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether
According to Current Housing Reports, published by the U.S. Census Bureau, the primary heating fuel for all occupied housing units is distributed as follows. Primary heating fuel Percentage Utility gas..........................................50.8 Fuel oil,
According to the U.S. Census Bureau publication Demographic Profiles, a relative-frequency distribution of the U.S. resident population by region in 2000 was as follows.A simple random sample of this year's U.S. residents gave the following frequency distribution. a. Identify the population and
The Higher Education Research Institute of the University of California, Los Angeles, publishes information on characteristics of incoming college freshmen in The American Freshman. In 2000, 27.7% of incoming freshmen characterized their political views as liberal, 51.9% as moderate, and 20.4% as
The data from Exercise 14.72 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. In Exercise Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions
In the paper "Total Body Composition by Dual- Photon (153Gd) Absorptiometry" (American Journal of Clinical Nutrition, Vol. 40, pp. 834-839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using
J. Greene and J. Touchstone conducted a study on the relationship between the estriol levels of pregnant women and the birth weights of their children. Their findings, "Urinary Tract Estriol: An Index of Placental Function," were published in the American Journal of Obstetrics and Gynecology (Vol.
Fill in the blanks. 1. The symbol that is used for the linear correlation coefficient is _________. 2. A value of r close to ±1 indicates that there is a _________ linear relationship between the variables. 3. A value of r close to _________ indicates that there is either no linear relationship
Perform the following tasks.a. Compute the linear correlation coefficient, r.b. Can you conclude from your answer in part (a) that the variables x and y are linearly related? Explain your answer.c. Draw a scatterplot for the data.d. Is use of the linear correlation coefficient as a descriptive
Richard's Heating and Cooling in Prescott, Arizona, charges $55 per hour plus a $30 service charge. Let x denote the number of hours required for a job, and let y denote the total cost to the customer. a. Find the equation that expresses y in terms of x. b. Determine b0 and b1. c. Construct a table
The two most commonly used scales for measuring temperature are the Fahrenheit and Celsius scales. If you let y denote Fahrenheit temperature and x denote Celsius temperature, you can express the relationship between those two scales with the linear equation y = 32 + 1.8x. a. Determine b0 and
A ball is thrown straight up in the air with an initial velocity of 64 feet per second (ft/sec). According to the laws of physics, if you let y denote the velocity of the ball after x seconds, y = 64 − 32x. a. Determine b0 and b1 for this linear equation. b. Determine the velocity of the ball

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