(Solved): The population mean and standard deviation are given below. Find the indicated probability and dete ...

The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of \( n=32 \), find the probability of a sample mean being less than 12,748 or greater than 12,751 when \( \mu=12,748 \) and \( \sigma=1,7 \). For the given sample, the probability of a sample mean being less than 12,748 or greater than 12,751 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? A. The sample mean would be considered unusual because there is a probability less than \( 0.05 \) of the sample mean being within this range. B. The sample mean would be considered unusual because there is a probability greater than \( 0.05 \) of the sample mean being within this range. C. The sample mean would not be considered unusual because there is a probability less than \( 0.05 \) of the sample mean being within this range. D. The sample mean would not be considered unusual because there is a probability greater than \( 0.05 \) of the sample mean being within this range.