1. Do social robots walk or roll? Refer to the InternationalConference on Social Robotics (Vol. 6414, 2010) study ofthe trend in the design of social robots, Exercise 2.1(p. 26). Recall that in a random sample of 106 social (orservice) robots designed to entertain, educate, and care forhuman users, 63 were built with legs only, 20 with wheelsonly, 8 with both legs and wheels, and 15 with neither legsnor wheels. One of the 106 social robots is randomly se-lected and the design (e.g., wheels only) is noted.a. List the simple events for this study.b. Assign reasonable probabilities to the simple events.c. What is the probability that the selected robot isdesigned with wheels?d. What is the probability that the selected robot isdesigned with legs?Toxic chemical incidents. Process Safety Progress (Sept.2004) reported on an emergency response system for inci-dents involving toxic chemicals in Taiwan. The system haslogged over 250 incidents since being implemented in2000. The accompanying table gives a breakdown of thelocations where these toxic chemical incidents occurred.Consider the location of a toxic chemical incident inTaiwan.a. List the simple events for this experiment.b. Assign reasonable probabilities to the simple events.c. What is the probability that the incident occurs in aschool laboratory?2.

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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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The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 52 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are μ=28.29 and σ=33.493, respectively. Let ?X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is x¯. Use the central limit theorem (CLT) to determine the probability ? that the mean taxable wages in James' sample of 52 counties will be less than $29…
The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was officially designated a heart transplant candidate, meaning that he was gravely ill and might benefit from a new heart. Patients were randomly assigned into treatment and control groups. Patients in the treatment group received a transplant, and those in the control group did not. The table below displays how many patients survived and died in each group ___ control______treatment___ alive 4 | 24 dead 30 | 45 A hypothesis test would reject the conclusion that the survival rate is the same in each group, and so we might like to calculate a confidence interval. Explain why we cannot construct such an interval using the normal approximation. What might go wrong if we constructed the confidence interval despite this problem?
Although an increasing share of Americans are reading e-books on tablets and smartphones rather than dedicated e-readers, print books continue to be much more popular than books in digital format (digital format includes both e-books and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8-February 7, 2019, found that 1081 of those surveyed had read a book in either print or digital format in the preceding 12 months. (You may regard the 1081 adults in the survey who had read a book in the preceding 12 months as a random sample of readers.) Andrew Perrin, "One-in-five Americans now listen to audiobooks," September 25, 2019 at www.pewresearch.org/fact-tank/2019/09/25/one-in-five-americans- now-listen-to-audiobooks/. The sampling scheme was more complex than an SRS, so the computation of the number in the sample who have read in the preceding 12 months and acting as if it were an SRS is oversimplified Macmillan Learning STATE: What can you say with 95%…
Researchers at the University of Virginia randomly assigned 60 four-year-olds to one of three tasks: watch a fast-paced television cartoon, watch a slower-paced educational cartoon, or participate in a drawing activity for a nine-minute period. At the end of the period, the researchers tested the children's "executive function," using various tests intended to measure characteristics such as self-regulation and working memory. These researchers found that those children who watched the fast-paced cartoon scored lower on the different measures of executive function than those children who either watched the educational cartoon or did the drawing activity. [Source: Lillard, A. S. & Peterson, J. (2011). The immediate impact of different types of television on young children's executive function. Pediatrics, 128(4), 644-649.] Suppose you are a cognitive psychologist and want to see whether you would find similar results using a repeated-measures design and focusing on a measure of…
A regional Internet service provider (ISP) is interested in whether a 15% discount on its price for its highest-speed service will notably impact customer retention. To answer this question, the ISP randomly chooses 75 of the 150 markets it serves to receive the 15% discount and keeps prices the same in the remaining 75 markets. After six months, the ISP observes the following: • For the markets receiving the discount, the average retention rate was 0.93 (i.e., 93%), with a standard deviation of 0.255. • For the markets not receiving the discount, the average retention rate was 0.88, with a standard deviation of 0.325. Using a 95% confidence interval, determine whether you can state with 95% confidence that the discount improved the six-month retention rate.
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Neuroscience researchers examined the impact of environment on rat development. Rats were randomly assigned to be raised in one of the four following test conditions: Impoverished (wire mesh cage - housed alone), standard (cage with other rats), enriched (cage with other rats and toys), super enriched (cage with rats and toys changes on a periodic basis). After two months, the rats were tested on a variety of learning measures (including the number of trials to learn a maze to a three perfect trial criteria), and several neurological measure (overall cortical weight, degree of dendritic branching, etc.). The data for the maze task is below. Compute the appropriate test for the data provided below. Include solution. Thank you
The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 56 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ?=28.29 and ?=33.493 , respectively. Let ? be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is ?⎯⎯⎯ . Use the central limit theorem (CLT) to determine the probability ? that the mean taxable wages in James' sample of 56 counties will be less than…
2.86 Shaft graves in ancient Greece. Refer to the American O Journal of Archaeology (Jan. 2014) study of sword shaft SHAFTS graves in ancient Greece, Exercise 2.60 (p. 61). The num- ber of sword shafts buried at each of 13 recently discovered grave sites is reproduced in the following table. 1 2 3 1 5 6 2 4 1 2 4 2 9 Source: Harrell, K. "The fallen and their swords: A new explanation for the rise of the shaft graves." American Journal of Archaeology, Vol. 118, No. 1, January 2014 (Figure 1). a. Calculate the range of the sample data. b. Calculate the variance of the sample data. c. Calculate the standard deviation of the sample data.
The Higher Education Research Institute at UCLA collected data from incoming first-time, full-time freshmen from 290 four-year colleges and universities in the U.S. In 2019, 56% of those surveyed strongly agree that addressing global climate change should be a federal priority. Suppose that you randomly pick 10 first-time, full-time freshmen. You are interested in the number of these 10 that strongly agree that addressing global climate change should be a federal priority. a. Identify the parameter n for the binomial experiment. b. Identify the parameter p for the binomial experiment. c. Find the probability that fewer than 6 of the 10 strongly agree that addressing global climate change should be a federal priority. Round your answer to 4 decimal places.

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