Using two different confidence levelsr a researcher constructs two confidence intervals for a population mean based on a sample of size n, = 15. The standard deviation is 27. Assume the population is normally distributed and the population standard deviation is unknown. The confidence intervals are: Interval 1: 80.323 a\"; u a\"; 99.077 Interval 2: 74346 a\"; u a\"; 104.654 1. Determine the following: a} The sample mean {1 decimal place): a: = 89.7 I b) The margin of error, ME {3 decimal places): ME forlnterval 1 = I 9.3T? I ME for Interval 2 = I 14.954 I c) The sample standard deviation [to the nearest integer]: 3: 2? I 2. At what confidence level was each confidence interval constructed? Choose the closest. a} What confidence level was used in Interval 1? 99% 98% 90% 95% 80% 0 C3- 0 O b) 1What confidence level was used in Interval 2? 90% 80% 98% 95% 99% O O C3- 0