Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows, 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. Assume this sample data follows a normal distribution. (a) Assume that the true standard deviation of the rainfall is σ = : 4. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = = 0.01. (b) Now assume you don't know the true standard deviation. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = 0.01. Find the p- value.

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Cloud seeding has been studied for many decades as a weather modification procedure. The
rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver
nitrate follows, 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7,
26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. Assume this sample data follows a normal distribution.
(a) Assume that the true standard deviation of the rainfall is σ = : 4. Can you support a
claim that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = = 0.01.
Transcribed Image Text:Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows, 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. Assume this sample data follows a normal distribution. (a) Assume that the true standard deviation of the rainfall is σ = : 4. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = = 0.01.
(b) Now assume you don't know the true standard deviation. Can you support a claim
that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = 0.01. Find the p-
value.
Transcribed Image Text:(b) Now assume you don't know the true standard deviation. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. Use α = 0.01. Find the p- value.
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