3.82 Do social robots walk or roll? Refer to the InternationalConference on Social Robotics (Vol. 6414, 2010) studysy of the trend in the design of social robots, Exercise 3.17(p. 129). Recall that in a random sample of 106 social ro-bots, 63 were built with legs only, 20 with wheels only, 8with both legs and wheels, and 15 with neither legs norwheels. If a social robot is designed with wheels, what isthe probability that the robot also has legs?

Step 1:From given data, suppose below sample space, S : Outcome of social robot.n(S) = 106 Suppose,A…

Answered: 3.82 Do social robots walk or roll?…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3.5
The authors of the paper "Dynamics of Canopy Structure and Light Interception in Pinus elliottii, North Florida" (Ecological Monographs (1991):33-51) planned an experiment to determine the effect of fertilizer on a measure of leaf area. A number of plots were available for the study, and half were selected at random to be fertilized. In order to assure that the plots to receive the fertilizer and the control plots were similar, prior to beginning the experiment tree density (the number of trees per hectare) was recorded for six plots to be fertilized and six control plots, resulting in the given data. Do the plots differ in tree number? Do you have any concerns about their experimental design? Fertilizer plots 1320 1216 1312 1280 1216 1312 control plots 1104 1072 1088 1150 1272 1280
12.74 (M3, M4, M5, P1) Jaups The authors of the paper "Driving Performance While Using a Mobile Phone: A Simulation Study of Greek Professional Drivers" (Transportation Research Part F [2016]: 164–170) describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driv- ing simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.20 meters and the sample standard deviation was 1.11 meters. a. Construct and interpret a 95% confidence interval for u, the population mean following distance while talking on a mobile phone for the population of taxi drivers. b. What assumption must be made in order to generalize this confidence interval to the population of all taxi driv- adi ers in Greece?
The paper "An analysis of Job Sharing, Full-Time, and Part-Time Arrangements" (Amer. Business Review (1989): 34-40) reported on a study of hospital employment from three different groups. Each employee reported a level of satisfaction with his or her work schedule (1=very dissatisfied to 7 =very satisfied), as shown in the accompanying table. Group 1. Job sharers 2. Full-time employees 3. Part-time employees Sample Size Sample mean 24 24 20 6.60 5.37 5.20 (a). What model will you use for modelling this data set? Write down the corresponding model equation. What are numerator and denominator df's for the F test? (b). The test statistic value is F = 6.62. Use a test with significance level .05 to decide whether is plausible that true average satisfaction levels are identical for the three groups.
10.32 The article "Positive Aspects of Caregiving" (Research on Aging (2004) 26:429-453) describes a study that assessed how caregiving to Alzheimer's patients impacted the caregivers Most people would generally think that family members who provide daily care to parents and spouses with Alzheimer's disease would tend to be negatively impacted by their role as caregiver. The study asked 1,229 caregivers to respond to the following statement: "Caregiving enabled me to develop a more positive attitude toward life." The following responses were reported: Response Disagree a Lot Disagree a Little Agree a Little 234 19.2 Agree a Lot No Opinion Total Number % of total 166 13.5 116 9.4 542 44.1 1,229 100 13.9 a. Provide a graphical display of the data that illustrates potential differences in the b. Is there significant evidence that the proportions are not equally dispersed over c. Based on the graph in part (a) and your conclusions from part (b), does provid- percentages in the five cells.…
6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly accurate), are summarized in the table below: Response Humans Evolved with God guiding (1) Year: 2010 Year: 2001 38% 37% Humans evolved but God had no part in the process (2) 16% 12% God created humans in present form (3) 40% 45% Other / No opinion (4) 6% 6% (a) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001? O Ho: the population follows the 2001 distribution Ha: the population follows the 2010 distribution O Ho: the population follows the 2001 distribution Ha: the population doesn't follow the 2001 distribution O the population follows the 2010 distribution Ha: the population doesn't follow the 2010 distribution (b/c) Calculate the actual number…
3.17 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 2.7 (p. 38). Recall that in a random sample of 106 social (or service) robots designed to entertain, educate, and care for human users, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. One of the 106 social robots is randomly selected, and the design (e.g., wheels only) is noted. a. List the sample points for this study. b. Assign reasonable probabilities to the sample points. c. What is the probability that the selected robot is designed with wheels? d. What is the probability that the selected robot is designed with legs?
6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly accurate), are summarized in the table below: Response Year: 2010 Year: 2001 Humans Evolved with God guiding (1) 38% 37% Humans evolved but God had no part in the process (2) 16% 12% God created humans in present form (3) 40% 45% Other / No opinion (4) 6% 6% (a) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001? the population follows the 2010 distributionHa: the population doesn't follow the 2010 distribution Ho: the population follows the 2001 distributionHa: the population follows the 2010 distribution Ho: the population follows the 2001 distributionHa: the population doesn't follow the 2001 distribution (b/c) Calculate the…
The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 1616 City 11 33 City 2 2626 City 12 99 City 3 1212 City 13 2121 City 4 55 City 14 44 City 5 22 City 15 55 City 6 2626 City 16 44 City 7 66 City 17 2020 City 8 2525 City 18 1717 City 9 1616 City 19 2222 City 10 66 City 20 2525 Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ<blank

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