[See Solution] Rain. Simpson, Alsen, and Eden (Technometrics 1975) report the results of trials in which clouds were seeded and the amount of rainfall recorded.


Question: Rain. Simpson, Alsen, and Eden (Technometrics 1975) report the results of trials in which clouds were seeded and the amount of rainfall recorded. The authors report on 26 seeded and 26 unseeded clouds in order of the amount of rainfall, largest amount first. Here are two possible tests to study the question of whether cloud seeding works. Which test is appropriate for these data? Explain your choice. Using the test you select, state your conclusion.

Paired t-Test of \(\mu[1-2)\)

Mean of Paired Differences \(=-277.39615\)

t-Statistic \(=-3.641 \mathrm{w} / 25\) df

\(p=0.0012\)

2-Sample t-Test of \(\mu 1-\mu 2\) Difference

Between Means \(=-277.4\)

\(t\) -Statistic \(=-1.998 \mathrm{w} / 33 \mathrm{df}\)

\(p=0.0538\)

  1. Which of these tests is appropriate for these data? Explain.
  2. Using the test you selected, state your conclusion.

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