the-mann-whitney-u-test-is-a-nonparametric-test-used-to-compare-two-independent-

Question

The Mann-Whitney $U$ test is a nonparametric test used to compare two independent samples. It is equivalent to the Wilcoxon rank-sum test and leads to the same conclusions when applied appropriately. The test statistic is calculated as:

$z = \frac{U - \frac{n_{1} n_{2}}{2}}{\sqrt{\frac{n_{1} n_{2} (n_{1} + n_{2} + 1)}{12}}}$

where:

$U = n_{1} n_{2} + \frac{n_{1} (n_{1} + 1)}{2} - R$

$n sub 1 equals$ size of Sample $1$

$n sub 2 equals$ size of Sample $2$

$R =$ sum of the ranks for Sample $1$

Use the following pulse rate data (in units of beats per minute) for two groups of athletes to calculate the $z$ -test statistic for the Mann-Whitney $U$ test.

Sample $1$ (athletes) : $72 comma 78 comma 80 comma 85 comma 90$

Sample $2$ (long-distance runners): $60 comma 65 comma 68 comma 70 comma 75$

Accepted Answer

$z = - 2.40$

Answer

$z = - 2.40$

Answer

$z = - 2.40$

Answer

$z = - 2.40$