Find a sat confidence interval for the mean age or was Htat AHJ students (and record the bounds to 2 decimal places]. Do the median and mode fall into this range? if we want the margin of error to be less than 1 yearr how many total students should we sample? Someone once told me that the average age of PSU students is 2?- Does this value fall within the confidence interval? Assuming that this is the true mean age with a standard deviation of o=E, what is the probability of seeing a mean age #of a sample of n=343 less than 24? Does this provide evidence that the true mean of FSU stat 243 students is less than 2?? Can we generalize this result to all PSU students? [Hinti consider your answer to problem 9 on homework #2.] Find a 9D% confidence interval for the proportion of stat 243 students who can legally purchase recreational drugs in the State of Oregon (students who are El or over]- If we want the margin of error to be within 2 percentage pointsr how many total students must we sample? If we assume that the data is normal and treat the mean and standard deviation of the sample as if they were the population values. find the probability that a random stat 243 student can purchase recreational drugs, or rather, calculate P[age}EU.5}. Does this value fall in the confidence interval from problem 3? Based on your answers from problem 1 [regarding the median and nodei and problem 4. along what you observed in homework #2; do we have evidence that the original data is not normal? Considering the ELT and its requirementsr does this mean that we are not justified in using the normal distribution for our confidence intervals? 'e to keep 4 significant digits for all probabilities and