Sharonpho0319
contestada

Given a mean of 571 and a standard deviation of 236.5, what is the z-score of the value 724 rounded to the nearest tenth? a.0.9 b.–0.9 c.–0.6 d.0.6

Respuesta :

PoetClaw
The answer to this question is 0.6.

Answer:

d. 0.6

Step-by-step explanation:

Since, the formula for calculating the z-score or standard score is,

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where, x is a score,

[tex]\mu[/tex] is mean score,

[tex]\sigma[/tex] is the standard deviation,

Here,

x = 724,

[tex]\mu = 571[/tex],

[tex]\sigma = 236.5[/tex]

Hence, the z-score is,

[tex]z=\frac{724-571}{236.5}[/tex]

[tex]=\frac{153}{236.5}[/tex]

[tex]=0.646934460888\approx 0.6[/tex]

Option d is correct.

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