Adding and subtracting With Scientific notation Please help

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

Goshia [24]

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

6 0

3 years ago

Which statement is true about the purpose of trend lines in scatterplots?

skelet666 [1.2K]

Answer:

c just took the test edge 2020

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The graphs of functions f(x) and g(x) = f(x) + k are shown below: What is the value of k?

KatRina [158]

Answer:

k = 4

Step-by-step explanation:

k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).

2 - (-2) = 4

Hope that helps! :D

7 0

3 years ago

Find the slope It can be a proper fraction improper fraction or an integer

Vesna [10]

Answer:

The slope would be 2.5

Step-by-step explanation:

Rise over run, pick 2 points 50/20= 2.5

8 0

3 years ago

What is the area of this face?

andrey2020 [161]

200 Ft

Step-by-step explanation:

you should know this!

4 0

3 years ago

Adding and subtracting With Scientific notationPlease help