Two summers ago, Mrs. Pugawko saw a female black bear on a trail in Olympic National Park and was shocked with how large the bear appeared. The park ranger told her that there are 2,852 adult female black bears that are tracked and tagged in the national park. A random sample of 45 female black bears from those tagged had an average body weight of 204 pounds with a standard deviation of 26 pounds. A. Construct and interpret a 95% confidence interval to estimate the true population mean weight of all female bears that are tagged.

B. How big of a sample size should the ranger take if he wantsh is margin of error to be no more than 7 pounds?

answer: t=3

step-by-step explanation:

-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