Mehl (2007) published in the journal Science the results of an extensive study of 396 men and women, comparing the number of words uttered per day by each sex.Is the population likely to be normally distributed? Why or why not?
A) Yes; the population is likely to be normally distributed because the sample size is greater than 200.
B) No; the population is not likely to be normally distributed because it has a small sample size.
C) Yes; the population is likely to be normally distributed because the sample is greater than 30.
D) We do not know whether the population is normally distributed because we do not have information on the population.

Question

Quizplus · Accepted Answer

According to the central limit theorem, if the sample size is greater than 30, then the sample mean will be approximately normally distributed regardless of the population distribution. Therefore, since the sample size is 396, it is likely that the population is normally distributed.

Mehl (2007) Published in the Journal Science the Results of an Extensive