Parallelogram is a rectangle when

Find the indicated probability or percentage for the sampling error. The distribution of weekly salaries at a large company is r

Flauer [41]

Answer:

The probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

Step-by-step explanation:

According to the Central Limit Theorem if we have a non-normal population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

$\mu=\$1000\\\sigma=\$370\\n=80$

As n = 80 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean weekly salaries.

Let $\bar X$ represent the sample mean weekly salaries.

The distribution of $\bar X$ is: $\bar X\sim N(\$1000,\ \$41.37)$

Now we need to compute the probability of the sampling error made in estimating the mean weekly salary to be at most $75.

The sampling error is the the difference between the estimated value of the parameter and the actual value of the parameter, i.e. in this case the sampling error is, $|\bar X-\mu|= 75$ .

Compute the probability as follows:

$P(-75$

$=P(-1.81$

Thus, the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

3 0

3 years ago

Six nickels is what percent of one dollar? What percent of $2.00 would it be? Please help.

Deffense [45]

$6\ nickels=6\times\ \$0.05=\$0.30\\\\\frac{0.03}{1}\cdot100\%=3\%\\\\6\ nickels\ is\ 3\%\ of\ \$1.\\\\\frac{0.03}{2}\cdot100\%=1.5\%\\\\6\ nickels\ is\ 1.5\%\ of\ \$2.$

8 0

3 years ago

PLEASE HELP I REALLY NEED IT

Aleonysh [2.5K]

Answer:

9. Force is required to change an object velocity.Force is equal to mass times acceleration.

10. Force acting on object are paired with equal and opposite forces

Step-by-step explanation:

9.

Newton's 2nd law states that force is a product of mass and acceleration.In this case, the force of friction is causing deceleration of the ball.This is an example of rolling friction.Acceleration of the ball depends directly on this friction but indirectly on its mass.

10.

From Newton's 3rd Law ,for every action there is an equal and opposite reaction.The astronaut throwing the ball will experience the effect of an external force againts his own which is equal and in the opposite direction to the force she applied.This is why the astronaut moves backward but slower.

3 0

3 years ago

If f(x) varies directly with x and f(x) = 48 when x = 8 find the value of f(x) when x = 2

const2013 [10]

Here, f(x) = kx

k = f(x)/x
k = 48/8
k = 6

So, when x = 2,
f(x) = 6 * 2
z = 12

In short, Your Answer would be: 12

Hope this helps!

6 0

3 years ago

Is 7/9 a rational number ?

zzz [600]

Answer:

Yes.

Step-by-step explanation:

Rational numbers can be represented as fractions with integers. The denominator must not equal 0.

$\frac{7}{9}$ is already in this form. This means that it's a rational number.

Hope this helps.

8 0

3 years ago

Parallelogram is a rectangle when​

Parallelogram is a rectangle when