URGENT STATISTICS HELP: normal distributions

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2. To estimate the amount of lumber in a tract of timber, an owner decided to count the number of trees with diameters exceeding 12 inches in randomly selected 50-by-50 foot squares. Seventy 50-by-50 foot squares were chosen via a simple random sample of all squares in the tract, and the selected trees were counted in each tract. The data are listed here: 7 8 7 10 4 8 6 8 9 10 9 6 4 9 10 9 8 8 7 9 3 9 5 9 9 8 7 5 8 8 10 2 7 4 8 5 10 7 7 7 9 6 8 8 8 7 8 9 6 8 6 11 9 11 7 7 11 7 9 13 10 8 8 5 9 9 8 5 9 8 (6 points) Calculate the sample mean as an estimate of ,u, the mean number of timber trees for all 50-by-50-foot squares in the tract. . Calculate the sample standard deviation (5) for the data. Construct intervals, calculate the percentage of squares falling into each of the three intervals, and compare with the corresponding percentages given by the empirical rule. Create a normal quantile plot in your graphing calculator and sketch the plot here. Note: You don't have to know how to make a normal quantile plot by hand. However, you do need to have a general idea of how they're made, and you need to be able to use these plots to judge whether a distribution appears to be normal. In the population, are the numbers of trees per 50-by-50-foot square normally distributed? Justify your