Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25

Dolly Robinson

Dolly Robinson

Answered question

2020-10-28

Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50)
Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)
What is Jo’s margin of error, rounded to the nearest whole number?

Answer & Explanation

Talisha

Talisha

Skilled2020-10-29Added 93 answers

Step 1
Margin of Error can be calculated by:
M=z×σn
where: z depends on the confidence interval with we are working,
Let's assume 95% as the confidence interval,
So, z=1.96
Step 2
Here :
Standard deviation (σ)=50
N is the no. of sample,
Hence,
We have:
M=1.96×5025
=1.96×10
=19.6
Rounding to the nearest whole number we get:
M=20
Hence,
Jo's margin of error is 20(rounded to the nearest whole number).

2021-09-13

i think this is the answer 2.45
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-27Added 2605 answers

Answer is given below (on video)

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