The mean score of Dellas college's test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 400? Know that: according to standard normal distribution table, Z of 1.33 is 0.4082.
Added by Kristina M.
Step 1
We need to find the Z-score for a score of 400, using the formula: Z = (X - Ī¼) / Ļ where X is the score we want to find the Z-score for, Ī¼ is the mean score, and Ļ is the standard deviation. Z = (400 - 500) / 75 Z = -1.33 Show moreā¦
Show all steps
Close
Your feedback will help us improve your experience
Pritesh Ranjan and 70 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 mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320?
Sanchit J.
test scores are normally distributed with a mean of 500. convert the given score to a Z-score, using the given standard deviation. then find the percentage of students who score below 650 if the standard deviation is 100.
Tim T.
The mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320 and 350? a. 0.0146 b. 0.9690 c. 0.4772 d. 0.0082 e. 0.4918
Marc L.
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