Employees at a hospital take the temperature of every one of its more than 1,000 patients who visit the emergency room. The body temperatures of these patients follow a normal distribution similar to this:
Suppose that the hospital takes a random sample of 16 patients and calculates the sample mean temperature for those patients.
What will be the shape of the sampling distribution of the sample mean temperature?
Since we're given a normally distributed population, the sampling distribution of the sample means will also be normally distributed, even when the sample size is small.
