Professor Cornish studied rainfall cycles and sunspot cycles. 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.

Verify that the median is 17.5.
(a) 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.
(b) Test the sequence for randomness about the median at the 5% level of significance. Use the large sample theory outlined in Problem 11.

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6 29 6 0 68 0 02 23 5 18 0 50 163 64 72 26 0 0 3 8 142 108 3 90 43 25 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 5 9 11