Answer:
Explanation:
When you want to compare the means of two samples with different statistics you may use the z-score.
The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.
The z-score is calculated as:
[tex]z-score=(x-\mu )}/\sigma[/tex]
Where:
[tex]x=\text{value of the data}\\\\\mu =mean\\\\\sigma = \text{standard deviation}[/tex]
1. Male with a count of 5.58
[tex]z-score=(5.58-4.719)/0.490=1.757[/tex]
2. Female with a count of 5.23
[tex]z-score=(5.23-4.349)/0.402=2.192[/tex]
Therefor, the z-score of the female is greater than the z-score of the male.
The greater z-score means that, relative to her group, the female has a higher count than the male.
