Someone wants to know the mean weight of all garbage discarded in a city in a week. A random sample of n = 12 households was selected and the garbage was weighed. The results are as followed: 10.8, 27.9, 33.3, 33.1 37.6, 23.1, 27.6, 21.8, 44.5, 44.4, 17.2, 31.0. Find:

A) The best estimate for the mean weight of all the garbage discarded in the city.

B) A 90% confidence interval estimate for the mean weight of all garbage discarded in the city. Answer this question numerically, and also state the answer in a sentence.

C) In part B, what is the margin of error of the estimate?

D) What is the probability that the answer to Part B is incorrect? (Assuming your answer to Part B was calculated correctly.)