An exclusive College desires to accept only the top 8% of all graduating seniors based on the results of a national placement test. This test has a mean of 700 and a standard deviation of 150. Find the cutoff score for the exam. Assume the variable is normally distributed.
Added by Jose Angel L.
Step 1
Given that the top 8% corresponds to a z-score of 1.41. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Narayan Hari and 100 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
'Scores on a certain nationwide college entrance examination follow a normal distribution with mean of 500 and standard deviation of 1OO . Find the probability that a student will score: Over 650. Less than 250. Between 325 and 675_'
Madhur L.
An exclusive college desires to accept only the top 10% of all graduating seniors based on the results of a standard deviation of 100. Find the cutoff score - national placement test: This test has a mean of 500 and 10 points: the exam.
William S.
The marks for 1000 applicants in a college admission test are approximately normally distributed, with a mean of 125 and standard deviation of $15 .$ If the college decided to consider the applicants who scored at least 100 , how many of the students will be rejected? Note that marks are recorded to the nearest integers.
Some Continuous Probability Distributions
Applications of the Normal Distribution
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD