C8 Q8 V3: 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 final grades is found to be 61.75. Suppose that the population standard deviation is known to be 3.5. 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.) O A 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be wider than a 99% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. A 95% 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 confidence interval for the true population mean that is calculated from this sample data of 100 students. The true population mean grade is 61.75. O A 99% Z confidence interval for the true population mean that is calculated from this sample data of 100 students would be wider than a 99% Z confidence interval for the true population mean that is calculated from a sample of 144 students from the same population