The asq (american society for quality) regularly conducts a salary survey of its membership, primarily quality management professionals. based on the most recently published mean and standard deviation, a quality control specialist calculated thez-score associated with his own salary and found it was minus2.50. what is his salary?

a. 2.5 standard deviations below the average salary.

b. 2 and a half times less than the average salary.

c. 2.5 standard deviations above the average salary.

d. 2 and a half times more than the average salary.

A. 2.5 standard deviations below the average salary.

Step-by-step explanation:

In a normally distributed sample, the z-score measure how many standard deviations a measure is above or below the mean.

If the zscore is positive, the measure is above the mean.

If it is negative, the measure is below the mean.

A quality control specialist calculated thez-score associated with his own salary and found it was minus2.50. What is his salary?

This means that his salary is 2.5 standard deviations below the mean, that is the average salary.

The correct answer is A.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.