30. A real-estate agent would like to know whether renovation in an area would increase the house value. He randomly selects a sample of houses before renovation. He evaluates the house value before and after renovation. Which is the most appropriate statistical test to answer this question? (A) Chi-square test (B) F test (C) McNemar test (D) Paired T test (E) Two-independent sample T test

37. An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group took some random samples from the lake over a period of time to analyze the true mean discharge of wastewater per hour exceeded the company claim of 1000 gallons. Consider a one-sided hypotheses and use a significance level of $\alpha = 0.05$. What of the following statement is correct? (A) If the plant is not exceeding the limit, but actually $ \mu = 1000 $, there is only $ 5\% $ chance that we will conclude they are exceeding the limit. (B) If the plant is exceeding the limit, there is only a $ 5\% $ chance that we will conclude that they are not exceeding the limit. (C) If we reject $ H_0 $, the probability that it is actually true is 0.05. (D) The probability that the sample mean equals exactly the observed value would equal 0.05 if $ H_0 $ were true. (E) All of the above.

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