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Sunny_sXe [5.5K]
2 years ago
11

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

of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N
Mathematics
1 answer:
Ivahew [28]2 years ago
4 0

Using it's formula, it is found that Val's margin of error is of 9.8 pounds.

<h3>Margin of error:</h3>

The margin of error is given by the following equation:

M = 1.96\frac{s}{\sqrt{n}}

In which:

  • s is the standard deviation.
  • n is the sample size.

In this problem:

  • The standard deviation is of 50, hence s = 50.
  • Val weighed 100 cows, hence n = 100.

Then:

M = 1.96\frac{s}{\sqrt{n}}

M = 1.96\frac{50}{\sqrt{100}}

M = 9.8

Val's margin of error is of 9.8 pounds.

You can learn more about margin of error at brainly.com/question/14510808

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