In the article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177 186), ammonium concentrations (in mg/L) were measured at a large number of wells in the state of Iowa. The mean concentration was 0.71, the median was 0.22, and the standard deviation was 1.09. Is it possible to determine whether these concentrations are approximately normally distributed? If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.

Answer :

Step 1 of 2 :

Given, In Occurrence and Distribution of Ammonium in Iowa groundwater, ammonium concentrations were measured at a large number of wells in the state of Iowa.

The mean concentration is 0.71, the median is 0.22 and the standard deviation is 1.09.

The claim is to suggest whether these concentrations are approximately normally distributed.