What’s the answer to this

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

2 years ago

Are these proportional? 10 books for $4.50; 15 books for $6.00

umka2103 [35]

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

3 0

3 years ago

Please help question #10

elena-s [515]

The scale 3/4 was used

4 0

2 years ago

during Saturday's 12-mile hike Jim walk 5 miles in the first hour she then walk three more miles during the next hour what fract

Korvikt [17]

5 miles + 3 miles = 8 miles

8 miles out of 12 equals 8/12 = 1/3

so, your answer would be “he completed 1/3 of the total hike so far”

8 0

2 years ago

What is 4x^7 • 5x^3 simplified?

slavikrds [6]

Answer:

20x^10

Step-by-step explanation:

4x^7 * 5x^3

4(x^7) * 5(x^3)

4*5(x^7)(x^3)

20 x^(7+3)

20x^10

7 0

2 years ago