In: Statistics and Probability
Females have a mean pulse rate of 74 beats per minute (bpm) and a standard deviation of 12.5
bpm. If fifty females are randomly selected, what is the probability that their mean pulse rate
is greater than 79 bpm?
Solution :
Given that,
mean = 
 = 74
standard deviation = 
 = 12.5
n=50

= 
=74

= 
 / 
n = 12.5/ 
50 = 1.77
P(
 > 79) = 1 - P(
<79 )
= 1 - P[(
- 
) / 
< (79-74) /1.77 ]
= 1 - P(z < 0.60)
Using z table
= 1 - 0.7257
probability= 0.2743