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.