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1. 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 weighed. The results follow

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 point estimate of the mean weight of all 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 wrong? (assuming your answer to part b was calculated correctly.