Cloud Seeding Story. in an experiment to determine whether seeding clouds with silver iodide increases rainfall, 52 clouds were randomly assiened to be seeded or not. The amount of rain they generated was then measured (in acre-feet). Seeded Clouds Unseeded Clouds 4.1 17.5 7.7 31.4 11.5 32.7 17.3 40.6 21.7 92.4 24.4 115.3 26.1 118.3 26.3 119 28.6 129.6 198.6 36.6 200.7 41.1 242.5 47.3 255 68.5 274.7 81.2 274.7 87 302.8 95 334.1 147.8 430 163 489.1 244.3 703.4 321.2 978 345.5 1656 372.4 1697.8 830.1 2745.6 1202.6 Source: Chambers, Cleveland, Kleiner, and Tukey. (1983). Graphical Methods for Data Analysis. Wadsworth International Group, Belmont, CA, 351. Original Source: Simpson, Alsen, and Eden. (1975). A Bayesian analysis of a multiplicative treatment effect in weather modification. Technometrics 17, 161-166. Number of Cases: 26

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Cloud Seeding
Story: in an experiment to determine whether seeding clouds with silver iodide increases rainfall, 52
clouds were randomly assigned to be seeded or not. The amount of rain they generated was tnen
measured (in acre-feet).
Seeded Clouds
Unseeded Clouds
4.1
17.5
7.7
31.4
11.5
32.7
17.3
40.6
21.7
92.4
24.4
115.3
26.1
118.3
26.3
119
28.6
129.6
198.6
36.6
200.7
41.1
242.5
47.3
255
68.5
274.7
81.2
274.7
87
302.8
95
334.1
147.8
430
163
489.1
244.3
703.4
321.2
345.5
1656
372.4
1697.8
830.1
2745.6
1202.6
Source: Chambers, Cleveland, Kleiner, and Tukey. (1983). Graphical Methods for Data Analysis.
Wadsworth International Group, Belmont, CA, 351. Original Source: Simpson, Alsen, and Eden. (1975). A
Bayesian analysis of a multiplicative treatment effect in weather modification.
Technometrics 17, 161-166.
Number of Cases: 26
Transcribed Image Text:Cloud Seeding Story: in an experiment to determine whether seeding clouds with silver iodide increases rainfall, 52 clouds were randomly assigned to be seeded or not. The amount of rain they generated was tnen measured (in acre-feet). Seeded Clouds Unseeded Clouds 4.1 17.5 7.7 31.4 11.5 32.7 17.3 40.6 21.7 92.4 24.4 115.3 26.1 118.3 26.3 119 28.6 129.6 198.6 36.6 200.7 41.1 242.5 47.3 255 68.5 274.7 81.2 274.7 87 302.8 95 334.1 147.8 430 163 489.1 244.3 703.4 321.2 345.5 1656 372.4 1697.8 830.1 2745.6 1202.6 Source: Chambers, Cleveland, Kleiner, and Tukey. (1983). Graphical Methods for Data Analysis. Wadsworth International Group, Belmont, CA, 351. Original Source: Simpson, Alsen, and Eden. (1975). A Bayesian analysis of a multiplicative treatment effect in weather modification. Technometrics 17, 161-166. Number of Cases: 26
Use the data set provided from a cloud seeding experiment to answer the following questions, assume
the data is mound-shaped and symmetric. Make sure you include your calculation steps and that
explanations are given in complete sentences with the proper depth and clarity. Round each of your
answers to three decimal places of accuracy.
1. What distribution does the sample data follow? Explain.
IH is anome./ d.34 u, 43 Mortere and Sym meer.kal,
2. Find a 90% confidence interval for the mean rainfall in acre-feet for seeded clouds. Describe in
RwnJis noere ond Sym meereal,
your own words what the confidence interval communicates about the data set.
3. Find a 90% confidence interval for the mean rainfall in acre-feet for unseeded clouds. Describe
in your own words what the confidence interval communicates about the data set.
4. Find a 90% confidence interval for the difference between the mean rainfall in acre-feet for
seeded and unseeded clouds, Describe in your own words what the confidence interval
communicates about the data sets.
5. What assumption must be made to compare the difference between the mean rainfalls for
seeded and unseeded clouds?
6. Complete a hypothesis test for greater average rain fall from clouds seeded with silver-nitrate
then unseeded clouds at the 5% level of significance. Make sure your hypothesis test includes
each of the following components:
a.
State the null hypotheses, alternate hypotheses, and level of significance.
b. Would you perform a left-tailed, right-tailed, or two-tailed test? Why?
Compute the test statistic.
d. Find the p-value.
C.
e. Would you reject or fail to reject the null hypothesis?
f. Interpret your conclusion in the context of this problem?
How does the conclusion of your hypothesis test above correlate with the results of
your confidence interval for the difference between two means on number 4?
Transcribed Image Text:Use the data set provided from a cloud seeding experiment to answer the following questions, assume the data is mound-shaped and symmetric. Make sure you include your calculation steps and that explanations are given in complete sentences with the proper depth and clarity. Round each of your answers to three decimal places of accuracy. 1. What distribution does the sample data follow? Explain. IH is anome./ d.34 u, 43 Mortere and Sym meer.kal, 2. Find a 90% confidence interval for the mean rainfall in acre-feet for seeded clouds. Describe in RwnJis noere ond Sym meereal, your own words what the confidence interval communicates about the data set. 3. Find a 90% confidence interval for the mean rainfall in acre-feet for unseeded clouds. Describe in your own words what the confidence interval communicates about the data set. 4. Find a 90% confidence interval for the difference between the mean rainfall in acre-feet for seeded and unseeded clouds, Describe in your own words what the confidence interval communicates about the data sets. 5. What assumption must be made to compare the difference between the mean rainfalls for seeded and unseeded clouds? 6. Complete a hypothesis test for greater average rain fall from clouds seeded with silver-nitrate then unseeded clouds at the 5% level of significance. Make sure your hypothesis test includes each of the following components: a. State the null hypotheses, alternate hypotheses, and level of significance. b. Would you perform a left-tailed, right-tailed, or two-tailed test? Why? Compute the test statistic. d. Find the p-value. C. e. Would you reject or fail to reject the null hypothesis? f. Interpret your conclusion in the context of this problem? How does the conclusion of your hypothesis test above correlate with the results of your confidence interval for the difference between two means on number 4?
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