Question 561161: A poll found that a particular group of people read an average of 10.1 books per year. The pollsters are 99% confident that the result from this poll is off by fewer than 1.32 books from the actual average x. Express this situation as an inequality involving absolute value, and solve the inequality for x to determine the interval in which the average is likely to fall
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A poll found that a particular group of people read an average of 10.1 books per year. The pollsters are 99% confident that the result from this poll is off by fewer than 1.32 books from the actual average x. Express this situation as an inequality involving absolute value, and solve the inequality for x to determine the interval in which the average is likely to fall
----------
---
|10.1-x|<= 1.32
------
-1.32 <= 10.1-x <= 1.32
-11.32 <= -x <= -8.78
----------
Multiply thru by -1 to get:
--------------
8.78 <= x <= 11.32
========================
Cheers,
Stan H.
|
|
|
