For a population, the mean is 19.4 and the standard deviation is 5.8. compare the mean and standard deviation of the following random samples to the population parameters.
12, 15, 17, 20, 13, 11, 18, 19, 15, 14

The mean and standard deviation of random samples to the population parameters is less than the mean and standard deviation of population.

Step-by-step explanation:

Given : For a population, the mean is 19.4 and the standard deviation is 5.8.

The following random samples to the population parameters.

12, 15, 17, 20, 13, 11, 18, 19, 15, 14        

To find : Compare the mean and standard deviation ?

Solution :

1) We find the mean of the random sample,

The Mean of random sample 15.4 is less than 19.4 the mean of population.

2) We find the standard deviation of the random sample,

Solving summation separately,

Substitute back,

The Standard deviation of random sample 3.025 is less than 5.8 the standard deviation of population.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

true

step-by-step explanation: