Suppose that 500 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95% condence interval for the mean age of all students at the college. How many of the 500 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation. (3 The number of intervals expected to capture the true population mean is (Type an integer or a decimal.) The number of intervals expected to not capture the true population mean is |:. (Type an integer or a decimal.) The expression '3 can be used to find the number of intervals expected to capture the true population mean. 0.95(500) 95(500) 500 + 95 500 + 0.95