Answered

Explore a diverse range of topics and get expert answers on IDNLearn.com. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

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

Sagot :

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

Margin of error:

The margin of error is given by the following equation:

[tex]M = 1.96\frac{s}{\sqrt{n}}[/tex]

In which:

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

In this problem:

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

Then:

[tex]M = 1.96\frac{s}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{50}{\sqrt{100}}[/tex]

[tex]M = 9.8[/tex]

Val's margin of error is of 9.8 pounds.

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

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.