Name: _________________________________Confidence Intervals WS #3AP Statistics1) The following airborne times for United Airlines flight 448 from Albuquerque to Denveron 10 randomly selected days are given below:57545551564852515959a) Compute and interpret a 90% confidence interval for the mean airborne time for flight448.b) Based on your interval in part (a), if flight 448 is scheduled to depart at 10:00 A.M., what would you recommend for the published arrival time? Explain. 2) A triathlon consisting of swimming, cycling, and running is one of the more strenuous amateur sporting events. A research study reports the maximum heart rate (in beats per minute) for 9 randomly selected triathletes. The results were:xsSwimming1887.2Biking1868.5Running1947.8a) Assuming that the heart-rate distribution for each event is approximately normal, construct 95% confidence intervals for the true mean heart rate of the triathletes for each event.b) Based on the computed confidence intervals, do you think there is evidence that the mean maximumheart rate is higher for running than for the other two events? 3) An article in the Journal of Irreproducible Results(yes, there really is a journal by that name – it’s a spoof of technical journals) predicted dire consequences resulting from a nationwide buildup of NationalGeographicmagazines, since the subscriptions are increasing and no ever throws an issue away. A key to the analysis is the weight of an issue of the magazine. Suppose you were assignedthe task of estimating the average weight of an issue of National geographic. How manyissues should you sample to estimate the average weight to within 0.1 ounces with 95%confidence? Assume that is known to be 1 ounce.