SOLUTION: Review Exercises #16. The average cost of a certain type of seed per acre is $42. The standard deviation is $3. Using Chebyshev's theorem, find the range in which at least

Algebra.Com
Question 181994This question is from textbook Elementary Statistics
: Review Exercises
#16.
The average cost of a certain type of seed per acre is $42. The standard deviation is $3. Using Chebyshev's theorem, find the range in which at least 88.89% of the dte values will fall.
Please help me with this problem I understand that 1-1/k2 but i don't know who to apply it... please help me.
This question is from textbook Elementary Statistics

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The average cost of a certain type of seed per acre is $42. The standard deviation is $3. Using Chebyshev's theorem, find the range in which at least 88.89% of the the values will fall.
Please help me with this problem I understand that 1-1/k2 but i don't know who to apply it... please help me.
------------------------------------
Equation:
1 - (1/k^2) = 0.8889
1/k^2 = 0.1111111
k^2 = 9
k = 3
----------------
You want the range of values within 3 standard deviations of the mean.
42-3*(standard dev.) <= cost <= 42+3(standard deviation)
42-9 <= cost <= 42+9
$33 <= cost <= $51
============================
Cheers,
Stan H.
====================

RELATED QUESTIONS

A seed company mixes two types of seed for bird feeding. One costs $1.10 per kg and the... (answered by checkley77)
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 (answered by ikleyn)
A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 (answered by stanbon,Alan3354)
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $30 (answered by Theo)
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $25 (answered by ikleyn)
Linear Programming - The Graphical Method A farmer is going to divide her 60 acre... (answered by ikleyn)
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 (answered by ikleyn)
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 (answered by ikleyn)
A farmer, in the business of growing fodder for livestock, has 90 acres available for... (answered by Theo)