Question
In: Statistics and Probability
Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting...
Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting study of this subject, see the article in Technometrics, "A Bayesian Analysis of a Multiplicative Treatment Effect in Weather Modification", Vol. 17, pp. 161–166). The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 19.0, 31.7, 20.8, 28.1, 23.3, 19.8, 32.8, 24.4, 22.2, 28.9, 32.9, 28.1, 26.0, 25.7, 27.9, 22.8, 30.2, 35.8, 27.7, 32.6
(a) Can you support a claim that mean rainfall from seeded clouds exceeds 26.0 acre-feet? Use α=0.01.
(b) Compute the power of the test if the true mean rainfall is 28.0 acre-feet.
(c) What sample size would be required to detect a true mean rainfall of 28.5 acre-feet if we wanted the power of the test to be at least 0.9?
Solutions
orchestra answered 1 year agoRelated Solutions
Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting...
Cloud seeding has been studied for many decades as a weather
modification procedure (for an interesting study of this subject,
see the article in Technometrics, “A Bayesian Analysis of a
Multiplicative Treatment Effect in Weather Modification,” Vol. 17,
pp. 161–166). The rainfall in acre-feet from 18 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, and 34.8.
(a) Can you...
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in...
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
31.6
We need to test if the true mean
rainfall exceeds 25 acre-feet.
a. Write down the null and alternative hypotheses to be tested.
Clearly define the terms used.
b....
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in...
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,
31.6
a) Is there evidence that the mean rainfall from seeded clouds
exceeds 25 acre-feet? (1 pt)
b) If the true mean rainfall is 27 acre-feet, what is the...
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