Researchers experimenting with cloud seeding in Arizona want a random sequence of days for their experiments. (Reference: Proceedings of the National Academy of Science, Vol. 68, pp. 649-652.) Suppose they have the following itinerary for consecutive days, where S indicates a day for cloud seeding and N indicates a day for no cloud seeding. S S S S N S N S S S S N N N N S S S N N S S S S Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The symbols are randomly mixed. H1: The symbols are not randomly mixed.Ho: The symbols are not randomly mixed. H1: The symbols are randomly mixed. Ho: The symbols are not randomly mixed. H1: The symbols are not randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are randomly mixed. (b) Find the sample test statistic R, the number of runs. (c) Find the upper and lower critical values in Table 10 of Appendix II. c1 c2 (d) Conclude the test. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers experimenting with cloud seeding in Arizona want a random sequence of days for their experiments. (Reference: Proceedings of the National Academy of Science, Vol. 68, pp. 649-652.) Suppose they have the following itinerary for consecutive days, where S indicates a day for cloud seeding and N indicates a day for no cloud seeding.

Test the sequence for randomness. Use ? = 0.05.

(a) What is the level of significance?

State the null and alternate hypotheses.

H_o: The symbols are randomly mixed. H₁: The symbols are not randomly mixed.H_o: The symbols are not randomly mixed. H₁: The symbols are randomly mixed. H_o: The symbols are not randomly mixed. H₁: The symbols are not randomly mixed.H_o: The symbols are randomly mixed. H₁: The symbols are randomly mixed.

(b) Find the sample test statistic R, the number of runs.

(c) Find the upper and lower critical values in Table 10 of Appendix II.

c₁
c₂

(d) Conclude the test.

At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.

Reject the null hypothesis, there is sufficient evidence that the sequence of days for seeding and not seeding is not random.Fail to reject the null hypothesis, there is sufficient evidence that the sequence of days for seeding and not seeding is not random. Fail to reject the null hypothesis, there is insufficient evidence that the sequence of days for seeding and not seeding is not random.Reject the null hypothesis, there is insufficient evidence that the sequence of days for seeding and not seeding is not random.

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