The principal decided that the top 30% of the class with the highest grades in statistics will be awarded. The scores are rounded off to the nearest hundredths and are approximately normally distributed with a mean of 80.51 and a standard deviation of 10.2. What is the minimum score that a student should have to be awarded? And if 1500 students took the test, how many will not be awarded?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
100%

The principal decided that the top 30% of the class with the highest grades in statistics will be awarded. The scores are rounded off to the nearest hundredths and are approximately normally distributed with a mean of 80.51 and a standard deviation of 10.2.

What is the minimum score that a student should have to be awarded?

And if 1500 students took the test, how many will not be awarded?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill