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, Exercise 2.7 (p. 66). 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 LO6 in the accompanying table.

a. Estimate m, the average number of wheels used on all 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, m?

4 4 3 3 3 6 4 2 2 2 1 3 3 3 3 4 4 3 2 8 2 2 3 4 3 3 4 2