# X~N(335, 50). Find the z-score corresponding to an observation of

Kelly Nelson 2021-12-20 Answered
X~N(335, 50).
Find the z-score corresponding to an observation of 284.
-1.02
6.7
1.02
-6.7

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## Expert Answer

usaho4w
Answered 2021-12-21 Author has 2871 answers
given datas
$$\displaystyle\mu={335}$$
$$\displaystyle\sigma={50}$$ X=284 now we have to find Z score
so from the formula the Z score corresponding to observation X=284 is we have $$\displaystyle{Z}={\frac{{{X}-\mu}}{{\sigma}}}={\frac{{{284}-{335}}}{{{50}}}}=-{1.02}$$
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Lindsey Gamble
Answered 2021-12-22 Author has 4878 answers
Z score in statistics is computed with formula: z=(x-μ)/σ In given scenario, x=284, μ=335, σ=50 z= (284-335)/50 = -1.02 Results shows option B is correct.
nick1337
Answered 2021-12-28 Author has 9672 answers
Thanks! Both answers are good.

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