Researchers experimenting with cloud seeding in Arizona want a random sequence of days for their experiments 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 N S N S S S S N N S N S S S N N S S S S

Test this sequence for randomness. Use a = 0.05.

(a) What is the level of signifi­cance? State the null and alternate hypotheses.

(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.

(d) Conclude the test.

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