Is 13.3808315197 a rational number? Need an answer fast!

2. MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of

antiseptic1488 [7]

Answer:

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

$X \sim N(75,15)$

Where $\mu=75$ and $\sigma=25$

The distribution for the sample mean $\bar X$ is given by:

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

b) $\mu$ represent the true average for the scores of the aptitude test

c) We can calculate the z scores and we got:

$z = \frac{70.14-75}{\frac{15}{\sqrt{25}}}= -1.62$

$z = \frac{82.14-75}{\frac{15}{\sqrt{25}}}= 2.38$

And we can calculate the probability with this difference:

$P(-1.62$

d) We can calculate the z scores and we got:

$z = \frac{82.68-75}{\frac{15}{\sqrt{25}}}= 2.56$

And we can calculate the probability with this difference:

$P(Z$

e) We can calculate the z scores and we got:

$z = \frac{78.69-75}{\frac{15}{\sqrt{25}}}= 1.23$

And we can calculate the probability with this difference:

$P(Z$

Step-by-step explanation:

a. What are the expected value, the standard deviation, and the shape of the sampling distribution of $\bar X$ ?

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".

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

$X \sim N(75,15)$

Where $\mu=75$ and $\sigma=25$

The distribution for the sample mean $\bar X$ is given by:

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

b. What is the random variable in this problem? Define it in words.

$\mu$ represent the true average for the scores of the aptitude test

c. What is the probability that the average aptitude test score in the sample will be between 70.14 and 82.14?

We can calculate the z scores and we got:

$z = \frac{70.14-75}{\frac{15}{\sqrt{25}}}= -1.62$

$z = \frac{82.14-75}{\frac{15}{\sqrt{25}}}= 2.38$

And we can calculate the probability with this difference:

$P(-1.62$

d. What is the probability that the average aptitude test score in the sample will be greater than 82.68?

We can calculate the z scores and we got:

$z = \frac{82.68-75}{\frac{15}{\sqrt{25}}}= 2.56$

And we can calculate the probability with this difference:

$P(Z$

e. What is the probability that the average aptitude test score in the sample will be less than 78.69?

We can calculate the z scores and we got:

$z = \frac{78.69-75}{\frac{15}{\sqrt{25}}}= 1.23$

And we can calculate the probability with this difference:

$P(Z$

7 0

3 years ago

Evaluate the exponential function<br> f(x) = 3x ; x = -2

lord [1]

Answer:

-6

Step-by-step explanation:

Plug (-2) in for X in the equation

3(-2)

-6

8 0

3 years ago

To break even in a manufacturing business, income or revenue R must equal the cost of production C. The revenue R from selling

soldier1979 [14.2K]

Answer:

100

Step-by-step explanation:

Given:

income or revenue = R

Cost of production = C

Income or revenue R = 90x

x number of computer boards

C = 80x + 1,000

Also,

For break-even number of boards

C = R

80x + 1,000 = 90x

or

10x = 1,000

or

x = 100

Hence,

For break-even the number of boards that must be produced are 100

7 0

3 years ago

9,432 written in verbal is:

tatuchka [14]

Nine-thousand four-hundred thirty-two

5 0

3 years ago

Read 2 more answers

Please help<br> thanks<br> 10 points

Alik [6]

D the last one because it simplify by y^3/x^18

6 0

3 years ago