Question
In: Statistics and Probability
The medical reports from the track team in university x showed that, over the last few...
The medical reports from the track team in university x showed that, over the last few years, its first-year athletes have had a resting heart rate of μ= 53 beats per minute, with σ= 10. What is the probability that this year the sample of freshman (n=25) have a mean heart rate of 57 or lower (M<=57)?
a. 2.28%
b. 34.5%
c. 97.7%
d. 65.6%
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 53
standard deviation = 
= 10
n = 25
= 53
= /
n = 10/
25=2
P(M 
57) = P[(M -
) /
< (57-53) /2 ]
= P(z <2 )
Using z table
= 0.9772
=97.7%
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