Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be a difference? Find the coefficient of variation for each of the two samples; then compare the variation.
Male | Female |
86 | 65 |
71 | 83 |
64 | 80 |
72 | 71 |
71 | 76 |
51 | 82 |
65 | 88 |
56 | 87 |
83 | 89 |
68 | 89 |
60 | 92 |
60 | 68 |
99 | 90 |
58 | 78 |
66 | 78 |
we use the following R-code for calculations.
R-code:
m=c(86,71,64,72,71,51,65,56,83,68,60,60,99,58,66)
f=c(65,83,80,71,76,82,88,87,89,89,92,68,90,78,78)
mean(m);mean(f)
sd(m);sd(f)
cv_male=sd(m)/mean(m);cv_male
cv_female=sd(f)/mean(f);cv_female
Conclusion: By
computing the means of samples of adult males and adult females
which are 68.66667 and 81.06667 respectively, we think there
appears to be a difference in average pulse rates of male and
female population.
The coefficient of variation for the male and female samples are
respectively 0.1836888 and 0.1036757.
From the two values we can conclude that pulse rates of male
population is more dispersed than that of female population. That
means pulse rates of a male has more variability than that of a
female.
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