10 Percent Condition for Difference in Means
To compare the mean GPAs at two schools, a researcher selects a random sample of 120 students from a school of 800 students and an independent random sample of 150 students from a school of 900 students. Both samples are selected without replacement. Which statement correctly describes the standard deviation of the sampling distribution of the difference in sample means?
A
It is larger than the formula indicates.
B
It is smaller than the formula indicates by a non-negligible amount.
C
The difference from the formula is negligible.
D
It is exactly equal to the formula for sampling with replacement.
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