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3 years ago

What is the value this is -3 standard deviations from the mean?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

$z=\frac{x-\mu}{\sigma}$

Where $\mu$ = 62

$\sigma$ = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

$-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x$

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<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

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The margin of error is:

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The sample size is found solving for n when the margin of error is of M = 0.006, hence:

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$0.006\sqrt{n} = 1.96 \times 1.1547$

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A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

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