Solve the equation z = (x – μ) / σ for μ, when z = 1.54, x = 37.4, and σ = 2.

Answer :

Given information :

The z-score =1.54

The population standard deviation $(σ) = 2$

Solution :

→ The population mean $(\mu)$ :

$$\therefore z = \frac{X – \mu}{\sigma} \quad$$ $$\therefore 1.54 = \frac{37.4 – \mu}{2} \quad$$ $$\therefore \mu = 34.32$$

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