Question

In: Math

A typical adult's resting heart rate is 79 BPM with a standard deviation of 12. If...

A typical adult's resting heart rate is 79 BPM with a standard deviation of 12. If the heart rate of 9 randomly selected adults are taken, what average heart rate is at the 75th percentile? Round answer to 1 decimal place (i.e. 10.2)

Solutions

Expert Solution

Given that,

mean = = 79

standard deviation = = 12

n = 9

= 79

= / n = 9 /12=2.5981

Using standard normal table,

P(Z < z) = 75%

= P(Z < z) = 0.75  

= P(Z <0.67 ) = 0. 75

z = 0.67

Using z-score formula  

= z * +

=0.67 *2.5981+79

= 80.7


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