If we imagine all the possible random samples of 250 students at this university,99.7% of the samples should have means between what two numbers?
A)$2272.33 and $2727.67
B)$2348.22 and $2651.78
C)$250.00 and $2651.78
D)$250.00 and $2575.89
E)$300 and $4900

Question

Quizplus · Accepted Answer

This question is based on the empirical rule (or 68-95-99.7 rule), which states that for a normal distribution, 99.7% of the data falls within three standard deviations of the mean. The given options suggest the question is about finding the range within which 99.7% of the sample means lie, which is typically calculated using the mean ± 3 standard deviations. Without specific numbers for the mean and standard deviation, we can't calculate the exact values, but option A is the only one that symmetrically distributes around a central value, which aligns with how the empirical rule is applied to normal distributions.

If We Imagine All the Possible Random Samples of 250