According to a 2018 Money magazine article, the average income in Kansas is $53,906. Suppose the standard deviation is $3000 and the distribution of income is rightskewed. Repeated random samples of 400 Kansas residents are taken, and the sample mean of incomes is calculated for each sample.

a. The population distribution is right-skewed. Will the distribution of sample means be Normal? Why or why not?

b. Find and interpret a z-score that corresponds with a sample mean of $53,606.

c. Would it be unusual to find a sample mean of $54,500? Why or why not?