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# HW_11_12 - ECO220Y Homework Lectures 11 12 Readings...

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Page 1 of 3 ECO220Y: Homework, Lectures 11 & 12 Readings: Sections 7.1 – 7.2 Exercises: 7.2, 7.4, 7.5, 7.8, 7.16 – 7.18, 7.32 – 7.34, 7.36, 7.40 – 7.42, 7.47 – 7.50, 7.52, 7.54, 7.56, 7.58, 7.59 Problems: (1) Suppose you calculate x = \$36, y = \$60, s X = \$12, s Y = \$15, and s XY = -90. In the data x and y are measured in Canadian dollars. After you’ve done this analysis your boss informs you that she wanted these statistics in U.S. dollars and she wanted to know the variability of the difference between x and y (also in U.S. dollars). Revise the original statistics and provide the additional statistic. Show your work. (2) Create a new variable Z that is the variable X standardized to have mean 0 and variance 1. (Round to the first decimal place.) Show your work. For Questions (3) – (4) : Consider the following four boxes full of balls. (3) Suppose you randomly take one ball from box 1, one ball from box 2, one ball from box 3, and one ball from box 4 and then calculate the mean of the numbers shown on the four balls. Define the random variable X to be the mean. What is the probability distribution of X?

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HW_11_12 - ECO220Y Homework Lectures 11 12 Readings...

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