Randomly selected students participated in an experiment to testtheir ability to determine when one minute​ (or sixty​ seconds) haspassed. Forty students yielded a sample mean of 57.5 seconds.Assuming that sigmaequals9.2 ​seconds, construct and interpret a95​% confidence interval estimate of the population mean of allstudents. hat is the 95​% confidence interval for the populationmean mu​? Based on the​ result, is it likely that the​ students'estimates have a mean that is reasonably close to sixty​ seconds?A. ​Yes, because the confidence interval does not include sixtyseconds. B. Yes​, because the confidence interval includes sixtyseconds. C. ​No, because the confidence interval includes sixtyseconds. D. No​, because the confidence interval does not includesixty seconds.