#### Patients recovering from a stroke have their grip strengths, measured in each hand to monitor their progress.

A certain population of over 150 female patients have grip strengths in their dominant hands with a mean and standard deviation of approximately 32 kg and 5 kg respectively.

Suppose that we take random samples of 5 female patients from the population and calculate \overline{x} as their sample mean grip strength from each group of patients.

What is the shape of the sampling distribution of \overline{x}?