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(3.32) In a study of exercise, a large group of male runners walk on a treadmill for 6 minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the N(105 12.6) distribution. The heart rates for male nonrunners after the same exercise have the N(129, 17) distribution. (a) what percent (±0.1) of the runners have heart rates above 135 (use software)? (b) what percent (±0.1) of the nonrun ners have heart rates above 135 (use software)?

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Answer #1

(a)

The required probability is

P(X > 135)-1-P(X < 135) 0.008633972 0.0086

The excel function used for probability "=1-NORMDIST(135,105,12.6,TRUE)".

(b)

The required probability is

P(X > 135)-1-P(X < 135) 0.36206627 0.3620

The excel function used for probability "==1-NORMDIST(135,129,17,TRUE)".

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