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mathematics
statistics
Elementary Statistics 8th Edition Neil A. Weiss - Solutions
a. Compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.1b. Compare your results in part (a) for SSTR and SSE with those in Exercises 13.2413.29, where you employed the defining formulas.c. Construct a one-way ANOVA table.d. Decide, at the 5% significance
a. Compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.1b. Compare your results in part (a) for SSTR and SSE with those in Exercises 13.24€“13.29, where you employed the defining formulas.c. Construct a one-way ANOVA table.d. Decide, at the 5% significance level,
a. Compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.1b. Compare your results in part (a) for SSTR and SSE with those in Exercises 13.24€“13.29, where you employed the defining formulas.c. Construct a one-way ANOVA table.d. Decide, at the 5% significance level,
a. Compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.1b. Compare your results in part (a) for SSTR and SSE with those in Exercises 13.2413.29, where you employed the defining formulas.c. Construct a one-way ANOVA table.d. Decide, at the 5% significance
Movie fans use the annual Leonard Martin Movie Guide for facts, cast members, and reviews of over 21,000 films. The movies are rated from 4 stars (4*), indicating a very good movie, to 1 star (1*), which Leonard Martin refers to as a BOMB. The following table gives the running times, in minutes, of
Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists G. Weiss et al. at the Chesapeake Biological Laboratory in Maryland designed an experiment to determine whether dietary lipid (fat) content is important in the population growth of a Chesapeake Bay
An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. Numerator? b. Denominator?
In Section 13.2, we considered two hypothetical examples to explain the logic behind one-way ANOVA. Now, you are to further examine those examples.a. Refer to Table 13.1 on page 528. Perform a one-way ANOVA on the data and compare your conclusion to that stated in the corresponding “What Does it
In the article ''Using EDE, ANOVA and Regression to Optimize Some Microbiology Data'' (Journalof Statistics Education, Vol. 12, No. 2, online), N. Binnie analyzed bacteria-culture data collected by G. Cooper at the Auckland University of Technology. Five strains of cultured Staphylococcus
Permeation sampling is a method of sampling air in buildings for pollutants. It can be used over a long period of time and is not affected by humidity, air currents, or temperature. In the paper Calibration of Permeation Passive Samplers With Silicone Membranes Based on Physicochemical
J. Engle et al. explored wheat€™s resistance to a disease that causes leaf-spotting, shriveling, and reduced yield in the article €œReaction of Commercial Soft RedWinter Wheat Cultivars to Stagonospora nodorum in the Greenhouse and Field€ (Plant Disease, An International Journal of
In the publication “How Often Do Fishes ‘Run on Empty’?” (Ecology, Vol. 83, No 8, pp. 2145–2151), D. Arrington et al. examined almost 37,000 fish of 254 species from the waters of Africa, South and Central America, and North America to determine the percentage of fish with empty stomachs.
The U.S. Census Bureau collects data on monthly rents of newly completed apartments and publishes the results in Current Housing Reports. Independent random samples of newly completed apartments in the four U.S. regions yielded the data on monthly rents, in dollars, given on the WeissStats CD. At
The U.S. Geological Survey, in cooperation with the Florida Department of Environmental Protection, investigated the effects of waste disposal practices on ground water quality at five poultry farms in north-central Florida. At one site, they drilled four monitoring wells, numbered 1, 2, 3, and 4.
Rock Sparrows breeding in northern Italy are the subject of a long-term ecology and conservation study due to their wide variety of breeding patterns. Both males and females have a yellow patch on their breasts that is thought to play a significant role in their sexual behavior. A. Pilastro et al.
Wear. In a study by J. Zeng et al., three materials for making artificial teeth—Endura, Duradent, and Duracross—were tested for wear. Their results were published as the paper “In Vitro Wear Resistance of Three Types of Composite Resin Denture Teeth” (Journal of Prosthetic Dentistry, Vol.
Hardness. In a study by J. Zeng et al., three materials for making artificial teeth—Endura, Duradent, and Duracross—were tested for hardness. Their results were published as the paper “In Vitro Wear Resistance of Three Types of Composite Resin Denture Teeth” (Journal of Prosthetic
An F-curve has df = (8, 19). What is the number of degrees of freedom for the a. Denominator? b. Numerator?
According to the American Psychiatric Association, posttraumatic stress disorder (PTSD) is a common psychological consequence of traumatic events that involve threat to life or physical integrity. A. Ehlers et al. studied various characteristics of political prisoners from the former East Germany
Considerable controversy exists over whether long-term neurodevelopment is affected by nutritional factors in early life. A. Lucas and R. Morley summarized their findings on that question for preterm babies in the publication ''Breast Milk and Subsequent Intelligence Quotient in Children Born
In the text Handbook of Biological Statistics (Baltimore: Sparky House Publishing, 2008), J. McDonald presented sample data on a shell measurement (the length of the anterior adductor muscle scar, standardized by dividing by length) in the mussel Mytilus trossulus from five locations: Tillamook,
The National Association of Colleges and Employers (NACE) conducts surveys on salary offers to college graduates by field and degree. Results are published in Salary Survey. The following table provides summary statistics for starting salaries, in thousands of dollars, to samples of
Nielsen Media Research collects information on daily TV viewing time, in hours, and publishes its findings in Time Spent Viewing. The WeissStats CD provides data on daily viewing times of independent simple random samples of men, women, teens, and children. Use the technology of your choice to do
An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On the WeissStats CD, we present the data on weight (in grams) and length (in centimeters) from
In the article “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Risk Reduction” (Journal of the American Medical Association, Vol. 293, No. 1, pp. 43–53), M. Dansinger et al. conducted a randomized trial to assess the effectiveness of four
Many species of cuckoos are brood parasites. The females lay their eggs in the nests of smaller bird species that then raise the young cuckoos at the expense of their own young. The question might be asked, “Do the cuckoos lay the same size eggs regardless of the size of the bird whose nest they
The Federal Bureau of Prisons publishes data in Statistical Report on the times served by prisoners released from federal institutions for the first time. Independent simple random samples of released prisoners for five different offense categories yielded the data on time served, in months, shown
The R. R. Bowker Company collects data on book prices and publishes its findings in The Bowker Annual Library and Book Trade Almanac. Independent simple random samples of hardcover books in law, science, medicine, and technology gave the data, in dollars, on the WeissStats CD. Use the technology of
An F-curve has df = (24, 30). In each case, find the F-value having the specified area to its right.a. 0.05b. 0.01c. 0.025
Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level—high, mid, or low—and then three magazines were randomly selected
A study by E. Anionwu et al., published as the paper “Sickle Cell Disease in a British Urban Community” (British Medical Journal, Vol. 282, pp. 283–286), measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SS, HB ST, and HB SC. The
Vitamin C (ascorbate) boosts the human immune system and is effective in preventing a variety of illnesses. In a study by E. Cameron and L. Pauling, published as the paper ''Supplemental Ascorbate in the Supportive Treatment of Cancer: Reevaluation of Prolongation of Survival Times in Terminal
We discussed how to use summary statistics (sample sizes, sample means, and sample standard deviations) to conduct a one-way ANOVA.a. Verify the formula presented there for obtaining the mean of all the observations, namely,b. Show that, if all the sample sizes are equal, then the mean of all the
The data on monthly rents, in dollars, for independent random samples of newly completed apartments in the four U.S. regions are presented in the following table.a. Find and interpret a 95% confidence interval for the mean monthly rent of newly completed apartments in the Midwest. b. Find and
Suppose that you have obtained a 95% confidence interval for each of the two differences, μ1 − μ2 and μ1 − μ3. Can you be 95% confident of both results simultaneously, that is, that both differences are contained in their corresponding confidence intervals? Explain your answer.
An F-curve has df = (12, 5). In each case, find the F-value having the specified area to its right.a. 0.01b. 0.05c. 0.005
For an F-curve with df = (20, 21), finda. F0.01.b. F0.05.c. F0.10.
The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independent simple random samples of reports for three types of
a. Obtain individual normal probability plots and the standard deviations of the samples.b. Perform a residual analysis.c. Decide whether presuming that the assumptions of normal populations and equal standard deviations are met is reasonable.
At the 5% significance level, do the data provide sufficient evidence to conclude that a difference in mean losses exists among the three types of robberies? Use one-way ANOVA to perform the required hypothesis test. T1 = 4899, T2 = 7013, T3 = 4567, and ˆ‘x2 = 16,683,857.
In the paper ''VoluntaryWeight Reduction in Older Men Increases Hip Bone Loss: The Osteoporotic Fractures in Men Study (Journal of Clinical Endocrinology & Metabolism, Vol. 90, Issue 4, pp. 1998–2004), K. Ensrud et al. reported on the effect of voluntary weight reduction on hip bone loss in
Another characteristic compared in the hip bone density study discussed in Problem 13 was Maximum Nottingham leg power, in watts. On the WeissStats CD, we provide the leg-power data for the three groups, based on the results obtained by the researchers. Use the technology of your choice to do the
Census Bureau collects information on incomes of employed persons and publishes the results in Historical Income Tables. Independent simple random samples of 100 employed persons in each of four age groups gave the data on annual income, in thousands of dollars, presented on the WeissStats CD. Use
As you learned at the beginning of this chapter, D. Seo et al. evaluated the marginal and internal gaps in Cerec3 partial ceramic crowns (PCC), using three different preparation designs: conventional functional cusp capping/shoulder margin (CFC), horizontal reduction of cusps (HRC), and complete
Recall from Chapter 1 (refer to page 30) that the Focus database and Focus sample contain information on the undergraduate students at the University of Wisconsin – Eau Claire (UWEC). Now would be a good time for you to review the discussion about these data sets. Open the Focus sample worksheet
State the four assumptions for one-way ANOVA, and explain how those assumptions can be checked.
In one-way ANOVA, identify a statistic that measures a. The variation among the sample means. b. The variation within the samples.
In one-way ANOVA, a. List and interpret the three sums of squares. b. State the one-way ANOVA identity and interpret its meaning with regard to partitioning the total variation among all the data.
For a one-way ANOVA, a. Identify one purpose of one-way ANOVA tables. b. Construct a generic one-way ANOVA table.
Consider the three hypothetical samples listed in the table at the top of the following page.a. Obtain the sample mean and sample standard deviation of each of the three samples. b. Obtain SST, SSTR, and SSE by using the defining formulas and verify that the one-way ANOVA identity holds. c. Obtain
ŷ = 2 + xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
Ha: Ï > 0Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Ha: Ï Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Ha: Ï 0Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Ha: Ï > 0Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Ha: Ï Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Ha: Ï _= 0Specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Following are the data on percentage of investments in energy securities and tax efficiency from Exercise 14.16.At the 2.5% significance level, do the data provide sufficient evidence to conclude that percentage of investments in energy securities and tax efficiency are negatively linearly
Following are the age and price data for Corvettes from Exercise. At the 5% level of significance, do the data provide sufficient evidence to conclude that age and price of Corvettes are negatively linearly correlated? Presuming that the assumptions for regression inferences are met, perform the
= 1 ˆ’ 2xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
Following are the size and price data for custom homes from Exercise. At the 0.5% significance level, do the data provide sufficient evidence to conclude that, for custom homes in the Equestrian Estates, size and price are positively linearly correlated? Presuming that the assumptions for
Following are the data on plant weight and quantity of volatile emissions from Exercise. Do the data suggest that, for the potato plant Solanum tuberosom, weight and quantity of volatile emissions are linearly correlated? Use α = 0.05. Presuming that the assumptions for regression
Following are the data on age of fetuses and length of crown-rump from Exercise. At the 10% significance level, do the data provide sufficient evidence to conclude that age and crown-rump length are linearly correlated? Presuming that the assumptions for regression inferences are met, perform the
Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise. a. At the 1% significance level, do the data provide sufficient evidence to conclude that a negative linear correlation exists between study time and test score for beginning calculus
A random sample of 10 students was taken from an introductory statistics class. The following data were obtained, where x denotes height, in inches, and y denotes score on the final exam. At the 5% significance level, do the data provide sufficient evidence to conclude that, for students in
Is ρ a parameter or a statistic? What about r? Explain your answers.
The data from Exercise for number of birdies during a tournament and final score of 63 women golfers are on the WeissStats CD. Do the data provide sufficient evidence to conclude that, for women golfers, number of birdies and score are negatively linearly correlated? Use the technology of your
The data from Exercise for the ages at inauguration and of death of the presidents of the United States are on the WeissStats CD. Do the data provide sufficient evidence to conclude that, for U.S. presidents, age at inauguration and age at death are positively linearly correlated? Use the
The data from Exercise for lot size (in acres) and assessed value (in thousands of dollars) of a sample of homes in a particular area are on the WeissStats CD. Do the data provide sufficient evidence to conclude that, for homes in this particular area, lot size and assessed value are positively
= 1 + 2xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
The data from Exercise for average high and low temperatures in January of a random sample of 50 cities are on the WeissStats CD. Do the data provide sufficient evidence to conclude that, for cities, average high and low temperatures in January are linearly correlated? Use the technology of your
The data from Exercise for shell thickness and concentration of PCBs of 60 Anacapa pelican eggs are on the WeissStats CD. Do the data provide sufficient evidence to conclude that concentration of PCBs and shell thickness are linearly correlated for Anacapa pelican eggs? Use the technology of your
The data from Exercise for estriol levels of pregnant women and birth weights of their children are on the WeissStats CD. Do the data provide sufficient evidence to conclude that estriol level and birth weight are positively linearly correlated? Use the technology of your choice to decide whether
The data from Exercise for age and body fat of 18 randomly selected adults are on the WeissStats CD. a. Do the data provide sufficient evidence to conclude that, for adults, age and percentage of body fat are positively linearly correlated? b. Remove the potential outlier and repeat part (a). c.
= ˆ’3 + 2xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
= 1.75 + 0.25xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
= 2.875 ˆ’ 0.625xa. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals.
Tax efficiency is a measure ranging from 0 to 100 of how much tax due to capital gains stock or mutual funds investors pay on their investments each year; the higher the tax efficiency, the lower is the tax. The paper €œAt the Mercy of the Manager€ (Financial Planning, Vol. 30(5), pp.
The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1 and 6 years old. Here, x denotes age, in years, and y denotes price, in hundreds of dollars.For each exercise here, discuss what satisfying
Hanna Properties specializes in customhome resales in the Equestrian Estates, an exclusive subdivision in Phoenix, Arizona. A random sample of nine custom homes currently listed for sale provided the following information on size and price. Here, x denotes size, in hundreds of square feet, rounded
Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. N. Agelopolous et al. examined factors that affect the emission of volatile compounds by the potato plant Solanum tuberosom and published their findings in the paper Factors
State the four conditions required for making regression inferences.
Crown-Rump Length. In the article €œThe Human Vomeronasal Organ. Part II: Prenatal Development€ (Journal of Anatomy, Vol. 197, Issue 3, pp. 421€“436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and
Study Time and Score. An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. Here are the results.For
Use the data on percentage of investments in energy securities and tax efficiency from Exercise 14.16.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a residual
Use the age and price data for Corvettes from Exercise 14.17.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a residual plot and a normal probability plot of the
Use the size and price data for custom homes from Exercise 14.18.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a residual plot and a normal probability plot of
Use the data on plant weight and quantity of volatile emissions from Exercise 14.19.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a residual plot and a normal
Use the data on age of fetuses and length of crown-rump from Exercise 14.20.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a residual plot and a normal
Use the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.21.In Exercisea. Compute the standard error of the estimate and interpret your answer. b. Interpret your result from part (a) if the assumptions for regression inferences hold. c. Obtain a
Figure 14.8 shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for regression inferences. Explain your answers.Figure 14.8
Figure 14.9 on the next page shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for regression inferences. Explain your answers.Figure 14.9
Fill in the blanks. a. The line y = β0 + β1x is called the______. b. The common conditional standard deviation of the response variable is denoted ______. c. For x = 6, the conditional distribution of the response variable is a distribution having mean and standard deviation______.
How important are birdies (a score of one under par on a given hole) in determining the final total score of a woman golfer? From the U.S. Women’s Open Web site, we obtained data on number of birdies during a tournament and final score for 63 women golfers. The data are presented on the Weiss
The Information Please Almanac provides data on the ages at inauguration and of death for the presidents of the United States. We give those data on the Weiss Stats CD for those presidents who are not still living at the time of this writing. a. Obtain and interpret the standard error of the
From the Statistical Abstract of the United States, we obtained data on percentage of gross domestic product (GDP) spent on health care and life expectancy, in years, for selected countries. Those data are provided on the Weiss Stats CD. Do the required parts separately for each gender.a. Obtain
The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. On the Weiss Stats CD are data on lot size (in acres) and
On the Weiss Stats CD are data on home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 14.33. a. Obtain and interpret the standard error of the estimate. b. Obtain a residual plot and a normal probability plot of the residuals. c. Decide whether
The National Oceanic and Atmospheric Administration publishes temperature information of cities around the world in Climates of the World. A random sample of 50 cities gave the data on average high and low temperatures in January shown on the Weiss Stats CD. a. Obtain and interpret the standard
Polychlorinated biphenyls (PCBs), industrial pollutants, are a great danger to natural ecosystems. In a study by R. W. Risebrough titled “Effects of Environmental Pollutants Upon Animals Other Than Man” (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of
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