Anyone know the answer !

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean $\mu$ and standard deviation $\sigma$ , then the distribution of sample mean will be normally distributed with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

b) mean and the standard for a random sample of size 49

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4$

c) mean and the standard for a random sample of size 196

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2$

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0

3 years ago

Will has 20 pounds of apples he makes to back to apple sauce that he's 4 pounds each one back to apple butter that use a 6 pound

Ulleksa [173]

Answer:

The equation representing pounds of apples will has left $x=20-4-6-3$ .

Will has left with 7 pounds of apples.

Step-by-step explanation:

Given:

Total pounds of apple = 20 pounds.

Pounds of apple used for apple sauce = 4 pounds

Pounds of apple used for apple butter = 6 pounds

Pounds of apple used for making juice = 3 pounds

We need to write the equation to represent pounds of apples will has left.

Solution:

Let us assume pounds of apples will has left be 'x'.

So we can say that;

pounds of apples will has left can be calculated by subtracting Pounds of apple used for apple sauce and Pounds of apple used for apple butter and Pounds of apple used for making juice from Total pounds of apple.

framing in equation form we get;

$x=20-4-6-3$

Hence The equation representing pounds of apples will has left $x=20-4-6-3$ .

On Solving the above equation we get;

$x=7\ pounds$