The distribution of resting pulse rates of all students at Adams High School was approximately normal with mean \mu = 80μ=80mu, equals, 80 beats per minute and standard deviation \sigma = 9σ=9sigma, equals, 9 beats per minute. Only students whose resting pulse rates are in the lower 40\%40%40, percent are eligible join the weight-lifting club. What is the maximum resting pulse rate for students who are eligible to join the weight-lifting club?

Answer:Maximum beat per minute for the lower 40% can be 77. Step-by-step explanation:Let z* be the z-score associated to the lower 40% bound. Then P(z<z*)=0.4 By looking one tail z-table, we can find that z*=−0.253.Let X be the maximum pulse rate among the pulse rates in the lower 40%. Thenz*=-0.253=[tex]\frac{X-M}{s}[/tex] where X is the maximum pulse rate of the lower 40%M is the mean resting pulse rates of all students at Adams High School (80 beats per minute)s is the standard deviation of resting pulse rates of all students at Adams High School (9 beats per minute) -0.253=[tex]\frac{X-80}{9}[/tex] and we get X=(-0.253×9)+80=77.723Since beats per minute can be positivive integer, maximum beat per minute for the lower 40% can be 77