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.
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nick1337
Answered 2021-12-28 Author has 9672 answers
Thanks! Both answers are good.
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\(\begin{array}{|c|c|}\hline Z+H & Prob. & Extrapolation \\ \hline 1.20000 & 0.38490 & Differences \\ \hline 1.21000 & 0.38690 & 0.00200 \\ \hline 1.22000 & 0.38880 & 0.00190 \\ \hline 1.23000 & 0.39070 & 0.00190 \\ \hline 1.24000 & 0.39250 & 0.00180 \\ \hline 1.25000 & 0.39440 & 0.00190 \\ \hline 1.26000 & 0.39620 & 0.00180 \\ \hline 1.27000 & 0.39800 & 0.00180 \\ \hline 1.28000 & 0.39970 & 0.00170 \\ \hline 1.29000 & 0.40150 & 0.00180 \\ \hline 1.30000 & 0.40320 & 0.00170 \\ \hline 1.31000 & 0.40490 & 0.00170 \\ \hline 1.32000 & 0.40660 & 0.00170 \\ \hline 1.33000 & 0.40830 & 0.00170 \\ \hline 1.34000 & 0.41010 & 0.00180 \\ \hline 1.35000 & 0.41190 & 0.00180 \\ \hline \end{array}\)
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