can you check 1,2,3 thank you

Read Chapter 7 and read carefully beginning the last paragraph on p. 163, then see Chapter 8 pp. 163-164 on The Student's t Distribution(s) and see Appendix B. The c.i. formula for this assignment is the 3"d of 3 c.i. formulae in our Formulae Part 2.pdf document in blackboard. Do not use large sample formula for c.i. or use z scores for the given alpha (a)! For each set of sample outcomes below, construct the selected confidence interval for estimating the population mean (pay close attention to whether you are given the variance or standard limit (UCL). deviation). You must report the lower confidence limit (LCL) and the upper confidence 1. X = 5.20, s = 2.70, N = 37, construct 99% c.i. 2. X = 3.38, s = 0.30, N = 10, construct 95% c.i. 3. X = 2.30, $2 = 1.44, N = 58, construct 90% c.i. 4. In your new job in the Albany County Planning Office, your supervisor wants to know if the average age of adults (persons age 18 and over) in Albany County is over age 50. You don't have a very big budget, so to determine your answer to this question, you collect a random sample of 55 (M) adult county residents and calculate a sample mean age (X ) of 52.0 with a standard deviation (s ) of 17.6. You choose to construct the 90% c.i. (confidence interval) for estimating the population mean age of adults in Albany County. Compute the upper and lower limits of the interval. What is your answer to your supervisor and what is your justification for this answer? 2,084