Question

Data from a cloud-seeding experiment are in the file CLOUDS on the course website. The file contains rainfall in acre-feet from 52 clouds: 26 of which were chosen at random and seeded with the compound silver nitrate and the other 26 were not seeded with silver nitrate.

Simpson, Alsen, and Eden. (1975). A Bayesian analysis of a multiplicative treatment effect in weather modification. Technometrics 17, 161-166.

1. 1. Make a boxplot of the amount of rainfall from the seeded clouds. Discuss.
   2. Make a normal quantile plot of the amount of rainfall from the seeded clouds. Discuss.
   3. Find the sample mean and sample standard error of the amount of rainfall from the seeded clouds.
   4. Report a 99% confidence interval for the mean amount of rainfall from the seeded clouds.
   5. Conduct a hypothesis test of whether the true mean amount of rainfall from the seeded clouds is 750 acre-feet against the two-sided alternative that the true mean amount of rainfall from the seeded clouds is not 750 acre-feet.
2. Continuing with the data in Exercise 1, test whether cloud seeding with silver nitrate increases rainfall amounts with a 1% level of significance. Be sure to state the P-value in your report. (Sec. 7.1 and 7.2

Answer 1

ANSWER::

seeded <- c(2745.6,1697.8,1656,978,703.4,489.1,430,334.1,302.8,274.7,274.7,255,242.5,200.7,198.6,129.6,119,118.3,115.3,92.4,40.6,32.7,31.4,17.5,7.7,4.1)
#a
boxplot(seeded)
#b
qqnorm(seeded)
#c
mean(seeded)
sd(seeded)

#d
t.test(seeded,conf.level = 0.99)

#e
t.test(seeded,mu = 750,conf.level = 0.99)

a)

b)

c)

d)

99% confidence interval is (86.22456,797.74467)

e)

p-value = 0.02346

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