Answer: The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.

You can assume that the sampling distribution of M is normally distributed for any sample size.

Step-by-step explanation:

According to the central limit theorem , if we have a population with mean $(\mu)$ and standard deviation $\sigma$ , then if we take a sufficiently large random samples from the population with replacement , the distribution of the sample means will be approximately normally distributed.
When population is normally distributed , then the mean of the sampling distribution = Population mean $(\mu)$
Standard deviation of the sampling distribution = $\dfrac{\sigma}{\sqrt{n}}$ , where $\sigma$ = standard deviation of the population , n= sample size.

So, the correct statements are:

You can assume that the sampling distribution of M is normally distributed for any sample size.
The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.

4 0

3 years ago

23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical

Lerok [7]

Answer:

The chair travels approximately 4,394.924 feet.

Step-by-step explanation:

We need to use trigonometric functions to solve this problem. You are given the opposite side of an angle and asked to find the hypotenuse. This means you must use sine, because sine is the ratio between opposite and hypotenuse.

Set up the equation as so:

sin(21) = 1575/x

(x being the hypotenuse). Solve for x by multiplying both sides by x and then dividing both sides by sin(21). Solve 1575/(sin(21)), and you get 4,394.924273, or 4,394.92

4 0

3 years ago

Graph the function y=1/7x+2

pentagon [3]

Answer:

x - 0, 1

y - 2, 15/7

3 0

3 years ago

Simplify4x^3 • (x-2)/2(step by step please)​

Simplify4x^3 • (x-2)/2(step by step please)