Let m denote the median weight of 80-pound bags of water softener pellets. Use the

Chapter 7, Problem 7.5-4

(choose chapter or problem)

Let \(m\) denote the median weight of “80-pound” bags of water softener pellets. Use the following random sample of \(n=14\) weights to find an approximate 95% confidence interval for \(m\):

\(\begin{array}{lllllll} 80.51 & 80.28 & 80.40 & 80.35 & 80.38 & 80.28 & 80.27 \\ 80.16 & 80.59 & 80.56 & 80.32 & 80.27 & 80.53 & 80.32 \end{array}\)

(a) Find a 94.26% confidence interval for \(m\).

(b) The interval \(\left(y_{6}, y_{12}\right)\) could serve as a confidence interval for \(\pi_{0.6}\) What is its confidence coefficient?

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