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13.11 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of how engineers design social robots, Exercise 2.7 (p. 38). Recall that a social (or service) robot is designed to enter- tain, educate, and care for human users. In a random sam- ple of 106 social robots obtained through a Web search, the researchers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Prior to obtaining these sample results, a robot design engineer stated that 50% of all social robots produced have legs only, 30% have wheels only, 10% have both legs and wheels, and 10% have neither legs nor wheels. a. Explain why the data collected for each sampled social robot are categorical in nature. b. Specify the null and alternative hypotheses for testing the design engineer's claim. c. Assuming the claim is true, determine the number of social robots in the sample you expect to fall into each design category. d. Use the results to compute the chi-square test statistic. e. Make the appropriate conclusion using a = .05.

13.11 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of how engineers design social robots, Exercise 2.7 (p. 38). Recall that a social (or service) robot is designed to enter- tain, educate, and care for human users. In a random sam- ple of 106 social robots obtained through a Web search, the researchers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Prior to obtaining these sample results, a robot design engineer stated that 50% of all social robots produced have legs only, 30% have wheels only, 10% have both legs and wheels, and 10% have neither legs nor wheels. a. Explain why the data collected for each sampled social robot are categorical in nature. b. Specify the null and alternative hypotheses for testing the design engineer's claim. c. Assuming the claim is true, determine the number of social robots in the sample you expect to fall into each design category. d. Use the results to compute the chi-square test statistic. e. Make the appropriate conclusion using a = .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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13.11 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of how engineers design social robots, Exercise 2.7 (p. 38). Recall that a social (or service) robot is designed to enter- tain, educate, and care for human users. In a random sam- ple of 106 social robots obtained through a Web search, the researchers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Prior to obtaining these sample results, a robot design engineer stated that 50% of all social robots produced have legs only, 30% have wheels only, 10% have both legs and wheels, and 10% have neither legs nor wheels. a. Explain why the data collected for each sampled social robot are categorical in nature. b. Specify the null and alternative hypotheses for testing the design engineer's claim. c. Assuming the claim is true, determine the number of social robots in the sample you expect to fall into each design category. d. Use the results to compute the chi-square test statistic. e. Make the appropriate conclusion using a = .05.
Transcribed Image Text:13.11 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of how engineers design social robots, Exercise 2.7 (p. 38). Recall that a social (or service) robot is designed to enter- tain, educate, and care for human users. In a random sam- ple of 106 social robots obtained through a Web search, the researchers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Prior to obtaining these sample results, a robot design engineer stated that 50% of all social robots produced have legs only, 30% have wheels only, 10% have both legs and wheels, and 10% have neither legs nor wheels. a. Explain why the data collected for each sampled social robot are categorical in nature. b. Specify the null and alternative hypotheses for testing the design engineer's claim. c. Assuming the claim is true, determine the number of social robots in the sample you expect to fall into each design category. d. Use the results to compute the chi-square test statistic. e. Make the appropriate conclusion using a = .05.
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