Asked by Zaylah Harris on Jul 15, 2024
Verified
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
Random Samples
A method of selecting a subset of individuals from a statistical population in such a way that every individual has an equal chance of being chosen.
University
An institution of higher education and research, which awards academic degrees at various levels including bachelor, master, and doctorate.
- Comprehend the principle of confidence intervals and their application across various sample dimensions.
Verified Answer
LI
liridon imeriJul 16, 2024
Final Answer :
A
Explanation :
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.
Learning Objectives
- Comprehend the principle of confidence intervals and their application across various sample dimensions.