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 N N S S S S N N S 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?   (b) Find the sample test statistic R, the number of runs.   (c) Find the upper and lower critical values in the Critical Values for Number of Runs R

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