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The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month

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MrRoyal

The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

Who is more likely to select an egg classified as large?

The given parameters are:

Jen's Hen Farm

  • Mean, μ = 2.11
  • Standard deviation, σ = 0.08

Rick's Chick Farm

  • Mean, μ = 2.15
  • Standard deviation, σ = 0.07

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

Read more about normal distribution at:

https://brainly.com/question/4079902

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