The standard error of the sample mean:
a. is never larger than the standard deviation of the population
b. decreases as the sample size increases.
c. measures the variability of the mean from sample to sample.
d. all of these choices are true.

d. All of these choices are true.

Step-by-step explanation:

The standard error of the sample mean is given by the following formula:

In which is the standard deviation of the population and is the size of the sample.

a. is never larger than the standard deviation of the population

We have that . This means that, yes, the standard error of the sample mean is never larger than the standard deviation of the population.

b. decreases as the sample size increases.

As the sample size increases, increases. This means that decreases. So this is also correct.

c. measures the variability of the mean from sample to sample.

This is the definition of the standard error of the sample mean, so it is true.

The correct answer is

d. All of these choices are true.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: