IV. Converting any Sampling Distribution to a Z-distribution to find probabilities. O A random sample 25 is selected from a normally distributed population with a mean of 24 and a variance of 25. What is the probability that the mean for the sample is less than 26? 1 (1) Anxiety and depression among college students in the U.S. is on the rise. While this is often measured by the number of college students, in your state the anxiety level of all college students was found to be 21 (based on an index that varied between 10 to 50 where 10 was the lowest and 50 was the highest). You want to determine if the level of anxiety and depression is more than for the state average for those students attending your university. A random sample of 121 provided a mean anxiety and depression value of 23 with a standard deviation of 4. What is the probability that the average anxiety and depression level for your university is more than for the state? V. t-distribution and finding probabilities To estimate the average monthly living expenses for a college student in the university you attend, a random sample of 61 students was selected. The resulting average monthly expenses was $1000 with a standard deviation of $800. Construct a 90% confidence interval and interpret it