A company manufactures mints that have a label weight of

Chapter 7, Problem 6E

(choose chapter or problem)

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:

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   22.0         21.3   21.2   21.0    21.0  21.9

21.7         21.5        21.5         21.1         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         21.7   21.6   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         20.6    20.6  22.0   22.0    21.7  21.6

(a) Construct an ordered stem-and-leaf display using stems of \(20 f, 20 s, 20 \bullet 21 *, \ldots, 22 *\).

(b) Find (i) the three quartiles, (ii) the 60 th percentile, and (iii) the 15 th percentile.

(c) Find approximate \(95 \%\) confidence intervals for (i) \(\pi_{0.25}\), (ii) \(m=\pi_{0.5}\), and (iii) \(\pi_{0.75}\).

Equation Transcription:

Text Transcription:

20f,20s,20bullet,21*,…,22*

95%

pi_0.25

m=0.5

pi_0.75

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