<p>Ahhh that makes sense. Could you help me with this one also?</p>
<p>A simple random sample produces a sample mean, x(bar), of 15. A 95 percent confidence interval for the corresponding population mean is 15 +/- 3. Which of the following statements must be true?</p>
<p>(A) Ninety-five percent of the population measurements fall between 12 and 18.
(B) Ninety-Five of the sample measurements fall between 12 and 18.
(C) If 100 samples were taken, 95 of the sample means would fall between 12 and 18.
(D) P(12<= x(bar) <= 18) = 0.95
(E) If mu = 19, this x(bar) of 15 would be unlikely to occur.</p>
<p>Answer’s E, but I absolutely don’t get why…</p>