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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