The Intelligence Quotients (IQ) for 600 applicants to a college is known to have a normal distribution with mean 115 and standard deviation 12. If the college requires an IQ of at least 95, calculate the number of applicants who are unsuccessful in entering the college based on their IQ.
Added by Leroy S.
Close
Step 1
To find the z-score, we use the formula: z = (x - μ) / σ where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation. In this case, x = 95, μ = 115, and σ = 12. Plugging in these values, we get: z = (95 - 115) / 12 z = -20 Show more…
Show all steps
Your feedback will help us improve your experience
Federico Castro and 82 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
The IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of $12 .$ If the college requires an IQ of at least, $95,$ how many of these students will be rejected on this basis regardless of their other qualifications?
Some Continuous Probability Distributions
Applications of the Normal Distribution
The IQs of 600 applicants to a certain college are approximately normally distributedwith a mean of 115 and a standard deviation of 12.(i) If the college requires an IQ of at least 95, how many of these students will be rejectedon this basis of IQ, regardless of their other qualifications?(ii) If 83% of the candidate are rejected what is the minimum score for selection criteria.
David N.
The IQs of 600 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. Note that IQs are recorded to the nearest integers. a) If the college requires an IQ of at least 95, how many of these students will be rejected on this basis of IQ? b) What is the minimum IQ of the top 30 applicants?
Joshua A.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD