When entering the city of Wheeling, West Virginia you will come across a sign that states: “Welcome to Wheeling…

When entering the city of Wheeling, West Virginia you will come across a sign that states: “Welcome to Wheeling – The Friendly City.” A social psychologist was interested in determining if Wheeling really was “The Friendly City.” She obtained a sample of 300 Wheeling residents, and had them fill out a questionnaire concerning friendliness. In the general population, the mean friendliness score is 30 with a standard deviation of 10. The mean of the Wheeling sample was 32.

a. Find the probability of obtaining such a sample mean from the aforementioned population.