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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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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