A company manufactures mints that have a label weight of 20.4 grams. The company regularly samples from the production line and weighs the selected mints. During two mornings of production it sampled 81 mints, obtaining the following weights:

(a) Construct an ordered stem-and-leaf display using stems of 20f, 20s, 20€¢, 21ˆ—, . . . , 22ˆ—.
(b) Find (i) the three quartiles, (ii) the 60th percentile, and
(iii) The 15th percentile.
(c) Find approximate 95% confidence intervals for (i) π0.25, (ii) m = π0.5, and (iii) π0.75.

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21.8 21.7 21.7 21.6 21.3 21.6 21.5 21.3 21.2 21.0 21.6 21.6 21.6 21.5 21.4 21.8 21.7 21.6 21.6 21.3 21.9 21.9 21.6 21.0 20.7 21.8 21.7 21.7 21.4 20.9 22.021.3 21.2 21.0 21.0 21.9 21.7 21.5 21.5 21. 21.3 21.3 21.2 21.0 20.8 21.6 21.6 21.5 21.5 21.2 21.5 21.4 21.4 21.3 21.2 21.8 21.7 21.721.6 20.5 21.8 21.7 21.5 21.4 21.4 21.9 21.8 21.7 21.4 21.3 20.9 21.9 20.7 21.1 20.8 20.620.6 22.0 22.0 21.7 21.6