Given :-
Low = 43 bpm and High = 107 bpm
range = High - Low = 107 - 43 = 64
Therefore ,
Standard deviation ( sigma ) =( range/4 )= (64/4) = 16
90% confidence level at alpha =10% then value of z is 1.645
And margin of error (ME) = 2 bpm
Now to find the sample size.
ME = z * sigma /√n
=> n = [ z*sigma / ME ]2
=> n = [ 1.645*16 / 2 ]2
n = 174
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