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suppose cattle in a large herd have a mean weight of 1217lbs and a variance of 10,404. What is the probability that the mean weight of the sample of cows would be less than 1210lbs if 116 cows are sampled at random from the herd? Round your answer to four decimal places.

Respuesta :

The probability that the mean weight of the sample of cows would be less than 1210lbs if 116 cows are sampled at random from the herd is; 0.2460

How to find the probability?

We are given;

Mean weight; μ = 1217 lbs

Population standard deviation; σ = √10404 = 102

Sample size; n = 116

Sample mean; x' = 1210 lbs

Sample standard deviation; s = σ/√n = 9.475

Formula for z-score is;

z = (x' - μ)/s

z = (1210 - 1217)/9.475

z = -1.16

From online p-value from z-score calculator, we have;

p-value = 0.2460

Read more about Probability at; https://brainly.com/question/15518918

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