​(a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or​ false?

Shape of sampling distribution of sample mean being approx normal or not depends upon sample size.

Step-by-step explanation:

'The shape of the sampling distribution of the sample mean is approximately normal' might be true or false, depending on sample size.

If the sample size satisfies the condition of being sufficiently large, the shape of sampling distribution of sample mean becomes more bell shaped normally distributed (even more normally distributed than actual population).

Central Limit theorem also states this - Larger the sample size, shape of sampling distribution of sample mean becomes more normally distributed around population mean.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3