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The population average cholesterol content of a certain brand of egg is 215 milligrams, and the...

The population average cholesterol content of a certain brand of egg is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed.

If we are told the average for 25 eggs is less than 220 mg, what is the probability that the average is less than 210?

Round the answers to four decimal places.

Solutions

Expert Solution

Solution:

Given that,

mean = = 215 miligrams

standard deviation =  = 15 miligrams

n = 25

= 215

=  ( /n) = (15 / 25 ) = 3

p (   < 220 )

= p ( - /) < (220 - 215 / 3 )

= p ( z < 5 / 3 )

= p ( z < 1. 67 )

Using z table

= 0.9525

Probability = 0.9525

p (   < 210 )

= p ( - /) < (210 - 215 / 3 )

= p ( z < - 5 / 3 )

= p ( z < - 1. 67 )

Using z table

= 0.0475

Probability = 0.0475

milcah answered 9 months ago
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