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Orlov [11]
3 years ago
15

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

ling distribution of the means with sample size 100 is 4.
Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

\mu = 114, \sigma = 40

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sampling distribution would be:

\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

\mu = 114, \sigma = 40

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sampling distribution would be:

\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4

So then the answer is TRUE

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In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what
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Answer:

BD=4\sqrt{3}\ units

Step-by-step explanation:

we know that

AD=12\ units

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see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{BD}{AD}=\frac{CD}{BD}

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BD=\sqrt{48}\ units

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Answer:

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Step-by-step explanation:

Let's solve the inequality for h so we know how many hours Greg worked:

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Step 2. Divide both sides by 14

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Step-by-step explanation:

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