The amount of income taxes that people owe each year varies greatly from person to person because income levels vary greatly. In a SRS of 30 people, the standard deviation of the yearly income taxes...

The amount of income taxes that people owe each year varies greatly from person to person because income levels vary greatly. In a SRS of 30 people, the standard deviation of the yearly income taxes was about $37,209. The IRS claims that the standard deviation of yearly income taxes is only $25,989.

Is the population normally distributed? Explain your reasoning.