STAT 235, ASAP please. The rest choices for b are:(-infinity, 12.442) and the value of 12.4 will be rejected.(11.444, infinity) and the value of 12.4 will be rejected.(11.382, 12.504) and the value of 12.4 will not be rejected.(11.444, infinity) and the value of 12.4 will not be rejected.

LBERTA eClass For the 2021 National Hockey League (NHL) season, all NHL teams only played within their own division, allowing a famous hockey it of 2 statistician (Fitzwilliam Corsi) a unique opportunity to compare various statistics. For the data below, Mr. Corsi randomly sampled 25 players from each division (North, West, East, Central) and measured each player's shooting percentage (in %). Shooting percentage is the number of goals scored by a player divided by their total number of shots. He also determined that all necessary assumptions are satisfied. The summary statistics are provided in the tables below. Summaries for each of the four columns are as follows: (Note: std. dev. = standard deviation) NORTH WEST EAST CENTRAL AVERAGE 17.339 11.419 11.943 16.058 STD. DEV. 3.384 0.971 1.002 1.434 Below are summaries for paired samples, if needed (Example: N - W is North - West) N - W N - E N - C W - E W - C E - C AVERAGE 5.92 5.396 1.281 -0.524 4.639 -4.115 STD. DEV. 3.322 3.959 3.093 1.327 1.941 1.85 a. Construct a 90% two-sided confidence interval for the mean shooting percentage in the Central division. (15.771, 16.345) O (15.586, 16.53) O (15.68, 16.436) (13.604, 18.512) (15.567, 16.549) b. When testing to see if the mean shooting percentage for the East division is less than 12.4%, what are the respective BEST CORRESPONDING 99% one-sided confidence interval and conclusion? (-00, 12.442) and the value of 12.4 will not be rejected. O/ 12 412) and the value of 12 4 w