Expand Your Knowledge: Either n1 . 20 or n2 . 20 Professor Cornish studied rainfall cycles and sunspot cycles (Reference: Australian Journal of Physics, Vol. 7, pp. 334–346). Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia.

6 29 6 0 68 0 0 2 23 5 18 0 50 163 64 72 26 0 0 3 8 142 108 3 90 43 2 5 0 21 2 57 117 51 3 157 43 20 14 40 0 23 18 73 25 64 114 38 31 72 54 38 9 1 17 0 13 6 2 0 1 5 9 11 Verify that the median is 17.5. Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance.

please provide the following information.

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

(b) Find the sample test statistic R, and the values of the parameters n1 and n2.

(c) Compute mR and s R and find the z-score for the sample test statistic.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the problem.AppendixLO1