We have two manufacturing processes, A and B, for making A36 steel. The expected yield strength for both processes are 36000 psi. We have found that process A has variance 100 psi^2 and process B has variance 144 psi^2.

a. If we draw 37 samples from A and 35 samples from B, what is the variance of the difference in the sample averages?

1. 12.00
2. 15.62
3. 6.82
4. 244.00
5. 10.00

b. If we draw 37 samples from A and 35 samples from B, what is the probability that the sample average from A is larger than the sample average from B?

1. 2.61
2. 0.69
3. 0.50
4 0.31

c. Is this probability calculation from an approximate or exact distribution?
1. exact
2. approximate

no problobm

step-by-step explanation:

351.23

step-by-step explanation:

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