Electric power plants that use water for cooling their condensers sometimes discharge heated water
into rivers, lakes, or oceans. It is known that water heated above certain temperatures has a
detrimental effect on the plant and animal life in the water. Suppose it is known that the increased
temperature of the heated water discharged by a certain power plant in any given day has a normal
distribution with a mean of 2.8 degrees Celsius and a standard deviation of 0.6 degrees Celsius.
Suppose a sample of 35 days was collected. You are interested in the probability that the mean
increase in temperature of the discharged water for the sample exceeds 2.6 degrees Celsius.