Suppose we know that two boxes have the following (population) averages and standard de- viations: Box A: Average of box =75 SD of box=20 Box B: Average of box =48 SD of box =15 We draw 400 times at random with replacement from box A. Independently of this, we draw 100 times at random with replacement from box B. a) What is the expected value for the average of the draws from box A? From box B? b) What is the expected value for the difference between the average of the draws from A and the average of the draws from B? c) Find the SE of the average of the 400 draws from A. d) Find the SE of the average of the 100 draws from B. e) Find the SE of the difference of the averages of the draws, using the square root formula above.
Suppose we know that two boxes have the following (population) averages and standard de- viations: Box A: Average of box =75 SD of box=20 Box B: Average of box =48 SD of box =15 We draw 400 times at random with replacement from box A. Independently of this, we draw 100 times at random with replacement from box B. a) What is the expected value for the average of the draws from box A? From box B? b) What is the expected value for the difference between the average of the draws from A and the average of the draws from B? c) Find the SE of the average of the 400 draws from A. d) Find the SE of the average of the 100 draws from B. e) Find the SE of the difference of the averages of the draws, using the square root formula above.
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![Problem 4
Suppose we know that two boxes have the following (population) averages and standard de-
viations:
Box A: Average of box = 75
SD of box =20
SD of box =15
Box B: Average of box =48
We draw 400 times at random with replacement from box A. Independently of this, we draw
100 times at random with replacement from box B.
a) What is the expected value for the average of the draws from box A? From box B?
b) What is the expected value for the difference between the average of the draws from A
and the average of the draws from B?
c) Find the SE of the average of the 400 draws from A.
d) Find the SE of the average of the 100 draws from B.
e) Find the SE of the difference of the averages of the draws, using the square root formula
above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2788a823-9b0c-4558-aefc-aefee58014d1%2F6021732d-087c-40eb-b8e7-e0526e457147%2F3jjqaf_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4
Suppose we know that two boxes have the following (population) averages and standard de-
viations:
Box A: Average of box = 75
SD of box =20
SD of box =15
Box B: Average of box =48
We draw 400 times at random with replacement from box A. Independently of this, we draw
100 times at random with replacement from box B.
a) What is the expected value for the average of the draws from box A? From box B?
b) What is the expected value for the difference between the average of the draws from A
and the average of the draws from B?
c) Find the SE of the average of the 400 draws from A.
d) Find the SE of the average of the 100 draws from B.
e) Find the SE of the difference of the averages of the draws, using the square root formula
above.
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