Complete all questions by hand and show all calculations. 1. Quadrat analysis A grid of squares has been placed over a map and the number of events falling in each square is counted. A frequency distribution of events per quadrat was created (see table below). #Events per Quadrat 0 1 2 3 4 5 6 Quadrat Frequency 16 9 4 1 1 0 1 a. Determine the mean and variance of the number of events per quadrat. b. Report the variance : mean ratio and interpret this value. c. Determine whether the spatial distribution of the events is random. In conducting this hypothesis test, state your hypotheses, report the t-score, report the p-value, state your decision, and state what you conclude about the distribution of the events.