uppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 25%. What is the minimum weight required to be brought to the farmer's market?

Question

Margaret Newton

Physics

16 February, 19:42

uppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 25%. What is the minimum weight required to be brought to the farmer's market?

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Answers (1)

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Jacoby · Answer 1

x = 9.53 ounces

Explanation:

Given that

Mean,μ = 9 ounces

Standard deviation,σ=0.8 ounces

He wants to sell only those potatoes that are among the heaviest 25%.

P=25% = 0.25

When P = 0.25 then Z=0.674

Lest take x is the the minimum weight required to be brought to the farmer's market.

We know that

x = Z. σ + μ

x = 0.674 ₓ 0.8 + 9 ounces

x = 9.53 ounces