Hi i need on this problem a.s.a.p ' you'similarity in right triangles,find the geometric mean of 4 and 10a) $2\sqrt{10}$ b) 7c) $\sqrt{14}$ d) 20

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Ответ:

MegRasmussen31

01.04.2021

Mathematics

$P(\bar X 86)=P(Z\frac{86-80}{\frac{12}{\sqrt{9}}}=1.5)$

And using a calculator, excel ir the normal standard table we have that:

P(Z1.5)=0.0668

TRUE.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,12)$

Where $\mu=80$ and $\sigma=12$

Since S follows a normal distribution then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability of interest with the following expression:

$P(\bar X 86)=P(Z\frac{86-80}{\frac{12}{\sqrt{9}}}=1.5)$

And using a calculator, excel ir the normal standard table we have that:

P(Z1.5)=0.0668

TRUE.

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