Getting at the Concept Explain why the null hypothesis Ho: μ1=...

Question

Getting at the Concept Explain why the null hypothesis Ho: μ1=μ2 is equivalent to the null hypothesis .Ho: μ1-μ2=0

Accepted Answer

All right. Hello, everyone. So this question says, suppose you are testing whether two treatments have the same effect. Which null hypothesis is equivalent to H not mu of X equals muse of Y. And here we have 4 different answer choices labeled A through D. So, first, let's consider the null hypothesis that we're given. What we're given for H knot is that mu of X is equal to muse of Y, meaning that the means are equal to each other. Now When you subtract muse of Y, for example, from both sides, what you get is that mu sub X subtracted by muse of Y is equal to 0. Therefore H knot, oops. Should be a subscript. Stating that for H not, muse of X subtracted by muse of Y is equal to 0, is equivalent to the expression we were given in the text of the problem. And because this corresponds to option A and the multiple choice, that is your correct answer. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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