assume that blood pressure reading are normally distributed with a mean of 125 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 127. round to four decimal places.
Solution :
Given that,
mean =
= 125
standard deviation =
= 6.4
n = 64

= 125

=
/
n = 6.4 /
64=0.8
P(
<127 ) = P[(
-
) /
< (127-125) /0.8 ]
= P(z <2.5 )
Using z table
= 0.9938
probability= 0.9938
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