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Over one year, a company sold the following numbers of lawn mowers. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Sales 238 220 195 245 345 380 270 220 280 120 110 85 1. Compute the one-step-ahead 3-month and 6-month moving-average forecasts for July through December. 2. Compute the MAD for the forecasts obtained in part (a). What effect does increasing from 3 to 6 have on the forecasts? 3. Use the arithmetic average of the first six months of data as a baseline to initialize the exponential smoothing. Compute the one-step-ahead exponential smoothing forecasts for July through December, assuming a = 0.20. 4. Compare the accuracy of the forecasts obtained in part (c) with the one-step ahead six-month moving- average forecasts obtained in part (a)