# CLT: Question 1

You will be given feedback for each answer that you select. If your response is incorrect, select a different answer, using the feedback to guide you toward the correct one.

Ourtown Health Department reported that the height of women in the city is approximately normally distributed with a mean of 5 feet, 4 inches (i.e., 64 inches) and a standard deviation of 3 inches.

Suppose we select a random sample of five women from our school, measure the height of each, and calculate the sample mean. If we wished to know whether the height of women at our school is typical of the height of women in Ourtown, how should we compare our sample data to information we have about the Ourtown population distribution?

#### We should compare the sample mean to the population distribution of Ourtown women as we do with an individual score.

Comparing the sample mean to the population distribution, as we do with individual scores, would not be appropriate because possible means are not distributed in the same way as individual scores.

#### We should compare each individual score in our sample, one at a time, to the population of individual scores.

It’s okay to compare individual scores with a population distribution of individual scores, but we can do better when we have a sample mean. We should use the sample mean to make a comparison.