We appreciate your visit to The combined math and verbal scores for students taking a national standardized exam for college admission is normally distributed with the mean of 550 and. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Top 20% of students taking the standardized exam. The exam scores follow a normal distribution with a mean of 550 and a standard deviation of 220.
To find the minimum score required to be in the top 20% of students, we need to determine the score that corresponds to the 80th percentile of the normal distribution.
The 80th percentile represents the score below which 80% of the scores fall. Since the scores follow a normal distribution, we can use the z-score formula to convert the percentile to a z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the score, μ is the mean, and σ is the standard deviation.
To find the minimum score, we need to solve for X using the z-score formula.
For the 80th percentile, the z-score can be found using a standard normal distribution table or a statistical calculator. In this case, it is approximately 0.8416.
0.8416 = (X - 550) / 220
Solving for X, we get:
X = 0.8416 * 220 + 550 ≈ 729.15
Therefore, the minimum score required for a student to qualify for admission at a college is approximately 729.15.
Learn more about standard deviation :
brainly.com/question/475676
#SPJ11
Thanks for taking the time to read The combined math and verbal scores for students taking a national standardized exam for college admission is normally distributed with the mean of 550 and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
