Statistical Literacy If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer

ST 701 Week Six Notes MaLyn Lawhorn September 19, 2017 and September 21, 2017 Transformation Continued Recall that if we have some random variable X with known PDF for which X ! Y by some g(x), then we also know everything we need to about Y .Depending on the properties of g(x), though, how we gather information about Y changes. Case 1: g(x) is one-to-one If g(x) is one-to-one, then this means that for each x 2 X, there is a unique value of x such that g(x) = y. An example would be if g(x) = 3x ▯ 4. An counter example would be g(x) = x 2 2 because for any y, there are two possible answers x = k and x = ▯k such that x = y. Case 1 is what wa