Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on the current trend in

Question:

Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on the current trend in the design of social robots, Exercise 7.33. 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 are reproduced in the accompanying table.

a. Suppose you want to test whether the mean number of wheels exceeds 3. There is concern that the robot data do not follow a normal distribution. If so, how will this impact the analysis.?

b. Propose an alternative nonparametric test to analyze the data.

c. Compute the value of the test statistic for the nonparametric test.

d. Find the p-value of the test.

e. At α = .05, what is the appropriate conclusion?

Data from Exercise 7.33

Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on the current trend in the design of social robots, Exercise 2.37. Recall that in a random sample of social robots obtained through a web search, 28 were built with wheels.

Data from Exercise 2.37

Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on the current trend in the design of social robots, Exercise 2.1. 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 listed in the accompanying table.

Data from Exercise 2.1

According to the United Nations, social robots now outnumber industrial robots worldwide. A social (or service) robot is designed to entertain, educate, and care for human users. In a paper published by the International Conference on Social Robotics (Vol. 6414, 2010), design engineers investigated the trend in the design of social robots. Using a random sample of 106 social robots obtained through a web search, the engineers 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.