The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of the weights (pounds) of such bears is given below. Find a 95% confidence interval estimate of the mean of the population of all such bear weights.

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80 344 416 348 166 220 262 360 204 144 332 34 140 180 105 166 204 26 120 436 125 132 90 40 220 46 154 116 182 150 65 356 316 94 86 150