If a certain sample of data has a mean of 25.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? Choose the correct answer.
A) (19.0; 26.5)
B) (14.5; 28.0)
C) (23.0; 28.5)
D) (22.5; 26.0)
E) (19.0; 30.5)
The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.   The values between 20 and 30 are within 2.5 standard deviations from the mean.   The answer is (19.0; 30.5).
<result>E</result>
If a certain sample of data has a mean of 25.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?