Which set of data is influenced by an extreme y value compared to other data points?

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Ответ:

Strudl8920

15.07.2021

Mathematics

$z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357$

And we can find the probability using the normal distribution table and we got:

P(z

Step-by-step explanation:

Let X the random variable of interest and we can find the parameters:

$\mu =25, \sigma= 3$

And for this case we select a sample size n =50. And since the sample size is higher than 30 we can use the central limit theorem and the distribution for the sample mean would be given by:

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

We want to find the following probability:

$P(\bar X$

And we can use the z score formula given by:

$z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357$

And we can find the probability using the normal distribution table and we got:

P(z

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