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The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 8.8 pounds and...

The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 8.8 pounds and standard deviation 1.9 pound(s). Find the 34th percentile of the weights.

Math   Statistics-And-Probability   
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Answer #1

= 8.8,  =1.9

We want to find 34th percentile

now using normal z table find approximate z score associated with 0.34

we get

z= -0.41

bellow is normal z table with z score related to 0.34

now formula is

now convert it for X

X = + ( z * )

X = 8.8 + ( - 0.41 * 1.9)

X = 8.021

34 th Percentile is = 8.021

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