C8 Q8 V2: A random sample of 100 students is taken from a larger population of students in a multi- lecture course and the sample mean [average] of their nal grades is found to be 63.25. Suppose that the population standard deviation is known to be 4. Which of the following is correct? [Note that you can answer these questions from understanding gleaned in lecture and lab, but may find R helpful.) A 99% Z confidence interval for the true population mean that is calculated from this sample . data of 100 students will be narrower than a 90% Z condence interval for the true population mean that is calculated from this sample data of 100 students. A 99% Z confidence interval for the true population mean that is calculated from this sample t\" data of 100 students will be wider than a 95% Z condence interval for the true population mean that is calculated from this sample data of 100 students. I" The true population mean grade is 63.2 5. A 95% Z confidence interval for the true population mean that is calculated from this sample I" data of 100 students would be narrower than a 95% Z confidence interval for the true population mean that is calculated from a sample of 14-4 students 'om the same population