1. (6 points) To determine whether the bacteria count was lower in the west basin of lake Macatawa than in the east basin, n = 37 samples of water were taken from the west basin and the number of bacteria colonies in 100 milliliters of water was counted. The sample characteristics were - 11.95 and s - 11.80, measured in hundreds of colonies. Find the approximate 95% confi- dence interval for the mean number of colonies (say, (w ) in 100 milliliters of water in the west basin