Suppose that you are a wildlife biologist studying morphological characteristics of sea turtles.

Assume that the mean straight carapace length of all adult female loggerhead sea turtles is 98 cm and the standard deviation is 12 cm. You did not know this fact and measured the straight carapace length of randomly caught 36 female loggerhead sea turtles.

According to the Central Limit Theorem, what is the shape of the sampling distribution of x? What are the values of the center and the spread?