Question

Assume that females have pulse rate that are normally distribute with a mean 74.0 beats per minute and a standard deviation of 12.5 beats per minute. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute.

0.4988

0.0012

0.0274

0.9726

Answer 1

Solution :

Given that,

mean = = 74

standard deviation = = 12.5

n = 16

= 74

=  / n = 12.5/ 16=3.125

P( < 80) = P[( - ) / < (80-74) / 3.125]

= P(z <1.92 )

Using z table  

=0.9726   

probability=