Students in a large district’s two high schools are offered a "Second Breakfast” program after their first-period class. The district’s nutrition manager is interested in determining if the program is effective. He takes two independent random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates the mean amount of money, in dollars spent, for the program. Which of the following statements concerning the variability of the sampling distribution of the sample mean is correct? The variability of the sample mean amount of dollars spent for high school A will be less than the variability of high school B.
The variability of the sample mean amount of dollars spent for high school A will be greater than the variability of high school B.
The variability of the sample mean amount of dollars spent for high school A will be the same as the variability of high school B.
Since there are two different independent random samples, it is not possible to compare the variability of the two sampling distributions.