The integral part of performing arts is ‘Jumping’ that requires strong muscular strength and elasticity of dancers. At what height a dancer vertically jump is one of the measures of dancer’s leg power, and however, it also depends on the level of expertise and amount of training s/he received. A research study conducted among Malaysian undergraduate student martial arts athletes (29 male and 25 female) reports that male arts athletes jump twenty-six percentage higher than their female counterparts. Assume that 90% of male athletes exceed the jump height of female counterparts. You are going to randomly select four male arts athletes and test them whether their vertical jump height exceed (success) or not exceed (failure) twenty-six percentage of the vertical height jump of female martial arts athletes. Let x represents the number of four male athletes who exceed twenty-six percentage of the standard vertical height jump of female athletes. Explain why this variable is binomial random variable. Find the probability of two of the four male athletes exceed twenty-six percentage of the standard vertical height jump of female athletes. Calculate mean and standard deviation of the number of the four male athletes exceed twenty-six percentage of the standard vertical height jump of female athletes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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The integral part of performing arts is ‘Jumping’ that requires strong muscular strength and elasticity of dancers. At what height a dancer vertically jump is one of the measures of dancer’s leg power, and however, it also depends on the level of expertise and amount of training s/he received. A research study conducted among Malaysian undergraduate student martial arts athletes (29 male and 25 female) reports that male arts athletes jump twenty-six percentage higher than their female counterparts. Assume that 90% of male athletes exceed the jump height of female counterparts.

You are going to randomly select four male arts athletes and test them whether their vertical jump height exceed (success) or not exceed (failure) twenty-six percentage of the vertical height jump of female martial arts athletes.

Let x represents the number of four male athletes who exceed twenty-six percentage of the standard vertical height jump of female athletes. Explain why this variable is binomial random variable.
Find the probability of two of the four male athletes exceed twenty-six percentage of the standard vertical height jump of female athletes.
Calculate mean and standard deviation of the number of the four male athletes exceed twenty-six percentage of the standard vertical height jump of female athletes.

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