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a. Find the variance for this population of x scores: 5,10, 15. (See Section 2-5 for the variance σ2 of a population.)
b. Find the variance for this population of y scores: 1, 2, 3.
c. List the population of all possible differences x - y, and find the variance of this population.
d. Use the results from parts (a), (b), and (c) to verify that σ2x - y = σ2x + σ2y. (This principle is used to derive the test statistic and confidence interval for this section.)
e. How is the range of the differences x - y related to the range of the x values and the range of the y values? |
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