4. Determine whether each of the following statements is true or false. A) There is a $95 \%$ probability that $\mu$ is between 54 and 58. B) There is a $95 \%$ probability that the true mean is 56 , and there is a $95 %$ chance that the true margin of error is 2. C) If we took many additional random samples of the same size and from each computed a $95 %$ confidence interval for $\mu$, approximately $95 \%$ of these intervals would contain $\mu$. D) If we took many additional random samples of the same size and from each computed a $95 %$ confidence interval for $\mu$, approximately $95 \%$ of the time $\mu$ would fall between 54 and 58 5. Which of the following could be the $90 %$ confidence interval based on the same data? A) $56 \pm 1$ B) $56 pm 2$ C) $56 \pm 3$ D) Without knowing the sample size, any of the above answers could be the $90 %$ confidence interval. SP.AS. 1156