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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c07b5b8-5784-4ae4-bd21-95a1da8f4790%2F7ce40cba-5ee4-4efe-a091-6beeac5cb8a5%2Fgdyqvj_processed.png&w=3840&q=75)
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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