Asked by Aaron Russell on Jun 02, 2024
Verified
A random sample of 25,000 ACT test takers had an average score of 21 with a standard deviation of 5.Determine the standard error.
A) .0230
B) .0316
C) .1328
D) .0141
Standard Error
Indicates the standard deviation of the sampling distribution of a statistic, most commonly the mean.
Standard Deviation
A quantification of how much a group of values diverges or spreads out.
- Develop a comprehensive understanding of the standard error and the margin of error.
- Attain an understanding of the standard error of the mean concept.
Verified Answer
ZK
Zybrea KnightJun 05, 2024
Final Answer :
B
Explanation :
Standard error (SE) is calculated by dividing the standard deviation (SD) by the square root of the sample size. SE = SD/sqrt(n). Plugging in the values, SE = 5/sqrt(25,000) = 0.0316. Therefore, the correct answer is choice B.
Learning Objectives
- Develop a comprehensive understanding of the standard error and the margin of error.
- Attain an understanding of the standard error of the mean concept.