Answer:
The scores are equal
Step-by-step explanation:
The z-score for any normal distribution is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
(i) Score (X) = 40
Mean (μ)= 50
Standard deviation (σ) = 10
[tex]z=\frac{40-50}{10}\\ z=-1[/tex]
(ii) Score (X) = 45
Mean (μ)= 50
Standard deviation (σ) = 5
[tex]z=\frac{45-50}{5}\\ z=-1[/tex]
Both scores have the same z-score, which means that, relative to their respective distributions, the scores are equal.
