Confidence intervals on the median rainfall


Given the following data:

Seeded:

151, 450, 124, 235, 357, 110, 302, 671, 118, 115, 275, 275, 2550, 243, 201, 199, 130, 119, 92, 91, 92, 98, 1650, 1200, 1180, 900, 700, 460, 340, 330

Unseeded:

246, 268, 275, 348, 305, 311, 206, 279, 426, 269, 257, 299, 337, 329, 319, 312, 327, 342, 351, 205, 151, 426, 154, 353, 396, 441, 254, 263, 278, 281

An experiment was designed to evaluate whether or not rainfall can be increased by treating clouds with silver iodide. Rainfall was measured from 60 clouds, of which 30 were chosen randomly to be seeded with silver iodide. The objective is to describe the effect that seeding has on rainfall. The measurements are the amounts of rainfall in acre-feet from the 60 clouds.

a. Place 95/95 lower tolerance intervals on the amount of rainfall amounts from both
seeded and unseeded clouds.

b. Place 95% confidence intervals on the mean rainfall from both seeded and unseeded clouds.

c. Place 95% confidence intervals on the median rainfall from both seeded and unseeded clouds.

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Basic Statistics: Confidence intervals on the median rainfall
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