Batting Averages. In a report by International Cricket Council revealed that batting averages, x, of a major cricket team players are normally distributed and have a mean of 52.71 and a standard deviation of 5.34. For samples of 10 batting averages, identify the distribution of each variable.

a. x¯ − 52.71 5.34/

√10

b. x¯ − 52.71 s/

√10