. Consider two normal populations who share a common variance but not necessarily share the same mean. See Example 10.2.

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. Consider two normal populations who share a common variance but not necessarily share the same mean. See Example 10.2.

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Consider Two Normal Populations Who Share A Common Variance But Not Necessarily Share The Same Mean See Example 10 2 1
Consider Two Normal Populations Who Share A Common Variance But Not Necessarily Share The Same Mean See Example 10 2 1 (55.25 KiB) Viewed 34 times
. Consider two normal populations who share a common variance but not necessarily share the same mean. See Example 10.2.1 in Section 10.2.1 and see Section 11.6.2. You are interested in testing the null-hypothesis which says that the two means are identical versus the alternative which says otherwise. Suppose, however, that your computer can deal only with the simple linear model. (a) How, nevertheless, you can meet the challenge? Assume the com- mon variance is known. Hint: use the so-called dummy variables. Specifically, take x; = 0 or Xi = 1 if the sampled individual be- longs to the first or the second population, respectively. What do the slope and the intersect parameters represent? (b) Repeat the above but for the case where the common variance is not given
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