le 1 contains the average points score per game (APG) by LeBron James in each of the previous NBA season. Assume that the APG per season for LeBron follows the normal distribution with mean and standard deviation as and o respectively. Table 1: LeBron James' average points per game in all previous NBA seasons Season Team 2003-04 CLE 2004-05 CLE 2005-06 CLE 2006-07 CLE 2007-08 CLE 2008-09 CLE 2009-10 CLE 2010-11 MIA 2011-12 MIA 2012-13 MIA 2013-14 MIA 2014-15 CLE 2015-16 CLE 2016-17 CLE 2017-18 CLE 2018-19 LAL Average points per game 20.9 27.2 31.4 27.3 30.0 28.4 29.7 26.7 27.1 26.8 27.1 25.3 25.3 26.4 27.5 27.4 If the sample average and sample variance of the 16 APG scores is 27.16 and 5.42, choose the correct 95% confidence interval for. The following quantiles of t-distribution are given to you: 7,0.975 = 2.365, 68,0.975 = 2.306,715,0.975 = 2.131, and 16,0.975 = 2.120, where t1-an denotes that if Z-tn, then Prob(Z