A class found a report suggesting that teenagers' foot lengths are approximately normally distributed with a mean of 23 cm and a standard deviation of 2.6 cm. They wondered if this held true at their school, so they
took a random sample of n = 9 students. The mean foot length of students in their sample was ä = 24.6 cm.
To see how likely a sample like theirs was to occur by random chance alone, the class performed a simulation.
They simulated 50 samples of n = 9 lengths from a normal population with a mean of 23 cm and standard
deviation of 2.6 cm. They recorded the mean of the lengths in each sample. Here are the sample means from
their 50 samples: