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Assume that blood pressure readings are normally distributed with a mean of 118 and a standard...

Assume that blood pressure readings are normally distributed with a mean of 118 and a standard deviation of 6.4 . If 64 people are randomly? selected, find the probability that their mean blood pressure will be less than 120 . Round to four decimal places.

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Answer #1

Solution:

Given that,

= 118

= 6.4

n = 64

So,

= 118

=  ( /n) = (6.4 / 8 ) = 0.8

p (   < 120 )

= p ( -  /   ) < ( 120 - 118 / 0.8)

= p ( z < 2 /0.8 )

= p ( z < 2.5)

Using z table

= 0.9938

Probability = 0.9938

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