7.44 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on ROBOTS the current trend in the design of social robots, Exercise 2.7 (p. 38). Recall that in a random sample of social robots obtained through a Web search, 28 were built with wheels. The number of wheels on each of the 28 robots is repro- duced in the accompanying table. a. Estimate social robots built with wheels, with 99% confidence. b. Practically interpret the interval, part a. c. Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, µ? lotasle oaU pro u, the average number of wheels used on all
7.44 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on ROBOTS the current trend in the design of social robots, Exercise 2.7 (p. 38). Recall that in a random sample of social robots obtained through a Web search, 28 were built with wheels. The number of wheels on each of the 28 robots is repro- duced in the accompanying table. a. Estimate social robots built with wheels, with 99% confidence. b. Practically interpret the interval, part a. c. Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, µ? lotasle oaU pro u, the average number of wheels used on all
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![### Applying the Concepts—Intermediate
#### Do social robots walk or roll?
Refer to the *International Conference on Social Robotics* (Vol. 6414, 2010) study on the current trend in the design of social robots. Recall that in a random sample of social robots obtained through a Web search, 28 were built with wheels. The number of wheels on each of the 28 robots is reproduced in the accompanying table.
**a.** Estimate \( \mu \), the average number of wheels used on all social robots built with wheels, with 99% confidence.
**b.** Practically interpret the interval from part a.
**c.** Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, \( \mu \)?
### Data (Number of Wheels on Each Robot):
\[ 4, 4, 3, 2, 3, 6, 4, 2, 2, 3, 1, 3, 3, 3, 4, 3, 4, 8, 2, 2, 2, 4, 3, 4, 4, 3, 4, 2 \]
**Source:** Chew, S., et al. “Do social robots walk or roll?” *International Conference on Social Robotics*, Vol. 6414, 2010 (adapted from Figure 2).
This text will guide you through statistical estimation and interpretation, focusing on social robots equipped with wheels. Use this data to practice confidence interval calculations and comprehension.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e803b3c-73d2-4762-ae70-129489ba72a5%2F222babb9-c14c-4723-b082-202e9e82f67a%2Fnxnljg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Applying the Concepts—Intermediate
#### Do social robots walk or roll?
Refer to the *International Conference on Social Robotics* (Vol. 6414, 2010) study on the current trend in the design of social robots. Recall that in a random sample of social robots obtained through a Web search, 28 were built with wheels. The number of wheels on each of the 28 robots is reproduced in the accompanying table.
**a.** Estimate \( \mu \), the average number of wheels used on all social robots built with wheels, with 99% confidence.
**b.** Practically interpret the interval from part a.
**c.** Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, \( \mu \)?
### Data (Number of Wheels on Each Robot):
\[ 4, 4, 3, 2, 3, 6, 4, 2, 2, 3, 1, 3, 3, 3, 4, 3, 4, 8, 2, 2, 2, 4, 3, 4, 4, 3, 4, 2 \]
**Source:** Chew, S., et al. “Do social robots walk or roll?” *International Conference on Social Robotics*, Vol. 6414, 2010 (adapted from Figure 2).
This text will guide you through statistical estimation and interpretation, focusing on social robots equipped with wheels. Use this data to practice confidence interval calculations and comprehension.
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