Stat 235. ASAP please. Please answer a and b. The choices for b are: 10.965&24, 10.965&48, 54.824&24, 0.37&48, 0.37&24

IVERSILY OF LBERTA eClass HELD For the 2021 National Hockey League (NHL) season, all NHL teams only played within their own division, allowing a famous hockey 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 17.643 11.403 11.891 15.948 STD. DEV. 3.492 0.919 1.056 1.52 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 6.24 5.752 1.695 -0.488 -4.545 4.057 STD. DEV. 3.322 3.959 3.093 1.327 1.941 1.85 a. Which of the following tests is BEST to detect a difference between mean shooting percentage for the North and West divisions if such a difference really exists? O Test for paired samples. Test for two independent samples with variances known and not assumed equal. Test for two independent samples with variances unknown and not assumed equal. Test for two independent samples with variances unknown and assumed equal. One-sample mean t-test. b. Test to see if the Central division has a higher mean shooting percentage than East division. If the standard error of the appropriate estimate is 0.37, what are the respective test statistic and the degrees of freedom? O 10.965 and 24