Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14.2, Problem 69E
Wasp Mating Systems. In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. 66, pp. 259–264), H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata. One part of the study involved the investigation of the percentage of male wasps dispersing before mating in relation to the brood sex ratio (proportion of males). The data obtained by the researchers axe on the WeissStats site.
- a. Obtain a
scatter plot for the data. - b. Is it reasonable to find a regression line for the data? Explain your answer.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Bottled Water. 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 different bottled water brands (Fiji, Aquafina, and Sam’s Choice) and tap water. Twelve people preferred the tapwater, 27Aquafina, 44 Fiji, and 26 Sam’s Choice. At the 5% significance level, do the data provide sufficient evidence to conclude that the four different water types are not equally likely in preference?
Rock Sparrows. 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. conducted an experiment in which they increased or reduced the size of a female’s breast patch by dying feathers at the edge of a patch and then observed several characteristics of the behavior of the male. Their results were published in the paper “Male Rock Sparrows Adjust Their Breeding Strategy According to Female Ornamentation: Parental or Mating Investment?” (Animal Behaviour,Vol. 66, Issue 2, pp. 265–271). Eight mating pairs were observed in each of three groups: a reduced-patch-size group, a control group, and an enlarged-patch-size group. The data on the WeissStats site, based on the results reported by the researchers, give the number of minutes per hour that males…
In the article “The Eastern Cottonmouth (Agkistrodon piscivorus) at the Northern Edge of Its Range” (Journal of Herpetology, Vol. 29, No. 3, pp. 391–398), Blem and Blem examined the reproductive characteristics of the eastern cottonmouth, a once widely distributed snake whose numbers have decreased recently due to encroachment by humans. A simple random sample of 44 female cottonmouths yielded a sample mean of ??̅ = 7.6 young per litter. Assume σ = 2.4. a. Is the sample mean likely to equal μ exactly? Explain your answer b. Find the 95% Confidence Interval. c. How large a sample would be needed to get at 99% confidence interval with a margin of error of just 0.1?
Chapter 14 Solutions
Introductory Statistics (10th Edition)
Ch. 14.1 - Regarding linear equations with one independent...Ch. 14.1 - Prob. 2ECh. 14.1 - Consider the linear equation y = b0 + b1x. a....Ch. 14.1 - Prob. 4ECh. 14.1 - In Exercises 14.514.14, we give linear equations....Ch. 14.1 - Prob. 6ECh. 14.1 - In Exercises 14.5-14.14, we give linear equations....Ch. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - In Exercises 14.514.14, we give linear equations....
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - In Exercises 14.1514.22,we identify the...Ch. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Rental-Car Costs. During one month, the Avis...Ch. 14.1 - Air-Conditioning Repairs. Richards Healing and...Ch. 14.1 - Measuring Temperature. The two most commonly used...Ch. 14.1 - A Law of Physics. A ball is thrown straight up in...Ch. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Road Grade. The grade of a road is defined as the...Ch. 14.1 - Vertical Lines. In this section, we stated that...Ch. 14.2 - Regarding a scatterplot, a. identify one of its...Ch. 14.2 - Regarding the criterion used to decide on the line...Ch. 14.2 - Regarding the line that best fits a set of data...Ch. 14.2 - Regarding the two variables under consideration in...Ch. 14.2 - Using the regression equation to make predictions...Ch. 14.2 - Fill in the blanks. a. In the context of...Ch. 14.2 - For which of the following sets of data points can...Ch. 14.2 - For which of the following sets of data points can...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - For a data set consisting of two data points: a....Ch. 14.2 - Prob. 47ECh. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.48-14.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.48-14.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - Prob. 58ECh. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - In each of Exercises 14.5814.63. a. find the...Ch. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - In each of Exercises 14.5814.63. a. find the...Ch. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - Tax Efficiency. In Exercise 14.58, you determined...Ch. 14.2 - Corvette Prices. In Exercise 14.59, you determined...Ch. 14.2 - Anscombes Quartet. In the article Graphs in...Ch. 14.2 - Study Time and Score. The negative relation...Ch. 14.2 - Age and Price of Orions. In Table 14.2, we...Ch. 14.2 - Wasp Mating Systems. In the paper "Mating System...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises I4.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.2 - Prob. 79ECh. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - Prob. 81ECh. 14.2 - Time Series. A collection of observations of a...Ch. 14.3 - In this section, we introduced a descriptive...Ch. 14.3 - A measure of total variation in the observed...Ch. 14.3 - A measure of the amount of variation in the...Ch. 14.3 - A measure of the amount of variation in the...Ch. 14.3 - Prob. 87ECh. 14.3 - In Exercises 14.8814.97, we repeal the data and...Ch. 14.3 - In Exercises14.481497, we repeal the tiara and...Ch. 14.3 - In Exercises 14.8814.97, we repeat the data and...Ch. 14.3 - Prob. 91ECh. 14.3 - Prob. 92ECh. 14.3 - Prob. 93ECh. 14.3 - Prob. 94ECh. 14.3 - Prob. 95ECh. 14.3 - Prob. 96ECh. 14.3 - Prob. 97ECh. 14.3 - Applying the Concepts and Skills For Exercises...Ch. 14.3 - Prob. 99ECh. 14.3 - Prob. 100ECh. 14.3 - Prob. 101ECh. 14.3 - Prob. 102ECh. 14.3 - For Exercises 14.9814.103, a. compute SST, SSR,...Ch. 14.3 - Prob. 104ECh. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - Prob. 106ECh. 14.3 - Prob. 107ECh. 14.3 - Prob. 108ECh. 14.3 - Prob. 109ECh. 14.3 - Prob. 110ECh. 14.3 - Prob. 111ECh. 14.3 - Prob. 112ECh. 14.3 - Prob. 113ECh. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - What can you say about SSE, SSR, and the utility...Ch. 14.3 - As we noted, because of the regression identity,...Ch. 14.4 - What is one purpose of the linear correlation...Ch. 14.4 - Prob. 119ECh. 14.4 - The symbol that is used for the linear correlation...Ch. 14.4 - A value of r close to 1 indicates that there is a...Ch. 14.4 - A value of r close to ____ indicates that there is...Ch. 14.4 - A value of r close to ____ indicates that the...Ch. 14.4 - A value of r close to 0 indicates that the...Ch. 14.4 - If y tends to increase linearly as x increases,...Ch. 14.4 - If y lends to decrease linearly as x increases,...Ch. 14.4 - If there is no linear relationship between x and...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - Answer true or false to the following statement...Ch. 14.4 - The linear correlation coefficient of a set of...Ch. 14.4 - The coefficient of determination of a set of data...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data front...Ch. 14.4 - Prob. 137ECh. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - Prob. 147ECh. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - Height and Score. A random sample of 10 students...Ch. 14.4 - Prob. 151ECh. 14.4 - Prob. 152ECh. 14.4 - Prob. 153ECh. 14.4 - Prob. 154ECh. 14.4 - In Exercise 14.154-14.166, use the technology of...Ch. 14.4 - Prob. 156ECh. 14.4 - Prob. 157ECh. 14.4 - Prob. 158ECh. 14.4 - Prob. 159ECh. 14.4 - Prob. 160ECh. 14.4 - Prob. 161ECh. 14.4 - In Exercises 14.154-14.166, use the technology of...Ch. 14.4 - In Exercises 14.15414.166, use the technology of...Ch. 14.4 - Prob. 164ECh. 14.4 - Prob. 165ECh. 14.4 - In Exercises 14.154-14.166, use the technology of...Ch. 14.4 - The coefficient of determination of a set of data...Ch. 14.4 - Country Music Blues. A Knight-Ridder News Service...Ch. 14.4 - Prob. 169ECh. 14.4 - In each of Exercises 14.169 and 14.170, a....Ch. 14 - For a linear equation y = b0 + b1x, identify the ...Ch. 14 - Consider the linear equation y = 4-3x. a. At what...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - Prob. 6RPCh. 14 - In Problems 35, answer true or false to each...Ch. 14 - Prob. 8RPCh. 14 - In each of Problems 911, fill in the blank. 9....Ch. 14 - Prob. 10RPCh. 14 - Prob. 11RPCh. 14 - Prob. 12RPCh. 14 - Prob. 13RPCh. 14 - Prob. 14RPCh. 14 - Prob. 15RPCh. 14 - Prob. 16RPCh. 14 - Prob. 17RPCh. 14 - Prob. 18RPCh. 14 - Prob. 19RPCh. 14 - Equipment Depreciation. A small company has...Ch. 14 - Graduation Rates. Graduation ratethe percentage of...Ch. 14 - Graduation Rates. Refer to Problem 21. a....Ch. 14 - Graduation Rates. Refer to Problem 21. a. Compute...Ch. 14 - Exotic Plants. In the article Effects of Human...Ch. 14 - In Problems 2527, use the technology of your...Ch. 14 - Prob. 26RPCh. 14 - Prob. 27RPCh. 14 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 14 - At the beginning of this chapter, we presented...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardA study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Death No Death Total None 40 100 140 Mild 40 100 140 Moderate 20 100 120 Severe 100 100 200 Total 200 400 600 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. The observed test statistic is 3.610 42.857 5.476 8.075arrow_forwardIn an article "Shelf-Space Strategy in Retailing", published in Proceedings: Southern Marketing Association, the effect of shelf height on the supermarket sales of canned dog food is investigated. An experiment was conducted at a small supermarket for a period of 8 days on the sales of a single brand of dog food, referred to as Arf dog food, involving three levels of shelf height: knee level, waist level, and eye level. During each day, the shelf height of the canned dog food was randomly changed on three different occasions. The remaining sections of the gondola that housed the given brand were filled with a mixture of dog food brands that were both familiar and unfamiliar to customers in this geographic area. Sales, in hundreds of dollars, of Arf dog food per day for the three shelf heights are given. Based on the data, is there a significant difference in the average daily sales of this dog food based on shelf height? Use a 0.01 level of significance. Knee Level 77 82 86 78 81 86 77…arrow_forward
- A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Mild Death No Death Total None 40 100 140 40 100 140 Moderate 20 100 120 Severe 100 100 200 Total 200 400 600 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Compute the p -value and make a decision O The p-value 0.25. fail to reject the null hypothesis O The p-value is between 0.04 and 0.05, reject the null hypothesisarrow_forwardIn an article Shelf-Space Strategy in Retailing, published in the Proceedings: Southern Marketing Association, the effect of shelf height on the supermarket sales of canned dog food is investigated. An experiment was conducted at a small supermarket for a period of 8 days on the sales of a single brand of clog food, referred to as Arf dog food, involving three levels of shelf height: knee level, waist level, and eye level. During each day the shelf height of the canned clog food was randomly changed on three different occasions. The remaining sections of the gondola that housed the given brand were filled with a mixture of dog food brands that were both familiar and unfamiliar to customers in this particular geographic area. Sales, in hundreds of dollars, of Arf dog food per day for the three shelf heights are as follows: Shelf Height Knee Level Waist Level 88 Eye Level 77 85 82 94 85 86 93 90 87 78 81 81 91 80 86 94 79 77 90 87 81 87 93 Is there a significant difference in the average…arrow_forwardA study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Mild Severe 100 Death No Death Total None 40 100 140 40 100 140 Moderate 20 100 120 Total 200 400 600 100 200 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Set up the alternative hypothesis (H, : The distribution of the categorical variable is not as given by the null hypothesis (lack of fit) At least ones of the means is different from the others O The two categorical variables are dependent The distribution of the categorical variable is not…arrow_forward
- Divorced Birds. Research by B. Hatchwell et al. on divorce rates among the long-tailed tit (Aegithalos caudatus Science News(Vol. 157, No. 20, p. 317). Tracking birds in Yorkshire from one breeding season to the next, the researchers noted that 63% of pairs divorced and that “. . . compared with moms whose offspring had died, nearly twice the percentage of females that raised their youngsters to the fledgling stage moved out of the family flock and took mates elsewhere the next season—81% versus 43%.” For the females in this study, find a. the percentage whose offspring died. (Hint: You will need to use the rule of total probability and the complementation rule.) b. the percentage that divorced and whose offspring died. c. the percentage whose offspring died among those that divorced.arrow_forwardDivorced Birds. Research by B. Hatchwell et al. on divorce rates among the long-tailed tit (Aegithalos caudatus) appeared in Science News(Vol. 157, No. 20, p. 317). Tracking birds in Yorkshire from one breeding season to the next, the researchers noted that 63% of pairs divorced and that “. . . compared with moms whose offspring had died, nearly twice the percentage of females that raised their youngsters to the fledgling stage moved out of the family flock and took mates elsewhere the next season—81% versus 43%.” For the females in this study, find a. the percentage whose offspring died. (Hint: You will need to use the rule of total probability and the complementation rule.) b. the percentage that divorced and whose offspring died. c. the percentage whose offspring died among those that divorced.arrow_forwardExcerpt source: Kim, H., Ji, J., & Kao, D. (2011). Burnout and physical health among social workers: A three-year longitudinal study. Social Work, 56(3), 258-268. Data were drawn from a longitudinal study examining the job-related factors associated with burnout among social workers. In this study, participants were randomly selected from a California registry of clinical social workers. Despite the high risk of burnout in the social work profession, little is known about its impact on the physical health of social workers. To address this gap in the research, the present study used longitudinal data from a sample of social workers registered in California to examine the impact of burnout on their physical health. Physical Health Complaints. Physical health was measured using the Physical Health Questionnaire (PHQ) (Schat, Kelloway, & Desmarais, 2005). For this analysis, we focused on four types of physical health problems: sleep…arrow_forward
- Infestation of crops by insects has long been of great concern to farmers and agricultural scientists. A study namely "Cotton Square Damage by the Plant Bug, Lygus Hesperus, and Abscission Rates" reports data on percent of damage squares (%) which is affected by age of cotton plant (days). The data are shown as follows: Age of a cotton plant 11 12 15 17 18 Damage squares 16 12 18 30 52 41 Age of a cotton plant 21 25 27 30 31 33 Damage squares 23 63 65 60 48 84 b. Using a matrix approach, i) find the estimated regression coefficients and hence, state the simple linear regression equation. ii) Do the data support the theory that the percentage of damage squares increase as every day increase in the age of cotton plant? Test using a = 0.05. iii) Find a 95% prediction interval for the percentage of damage squares that affected by 20 days of cotton plant's age.arrow_forwardHandedness and Cell Phone Use The accompanying table is from a study conducted with the stated objective of addressing cell phone safety by understanding why we use a particular ear for cell phone use. (See “Hemispheric Dominance and Cell Phone Use,” by Seidman, Siegel, Shah, and Bowyer, JAMA Otolaryngology—Head & Neck Surgery, Vol. 139, No. 5.) The goal was to determine whether the ear choice is associated with auditory or language brain hemispheric dominance. Assume that we want to test the claim that handedness and cell phone ear preference are independent of each other. a. Use the data in the table to find the expected value for the cell that has an observed frequency of 3. Round the result to three decimal places. b. What does the expected value indicate about the requirements for the hypothesis test? Ear Preference for Cell Phone Usearrow_forwardMicrohabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined from 2001 to 2002. In this region, woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests makes up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data. Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 a) Write the hypotheses for testing if barking deer prefer to forage in certain habitats over others. Ho: All habitats are equally prefered vs HA: Cultivated grassplot habitats are prefered over others Ho: All habitats are equally prefered vs HA: Wood habitats are prefered over others Họ : All habitats are equally prefered vs HA: Some habitats are prefered over others Ho: All habitats are equally prefered vs HA: Deciduous habitats are prefered over others b) What type of test can we use to answer this…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY