2. We have a dataset OttawaSenators2019 with values on several variable on the Ottawa Senators Hockey team. (You can find a reference to some description of this dataset in Unit B exercise B.19.) Assume: these are a random sample of NHL players . the distribution of the number of games is close enough to normal to use the normal distribution to do inference on these data. Show the results of the following steps to find a 99% confidence interval for the mean number of games for NHL players. a. What Statkey applet did you use to find the mean and standard deviation of this sample? Name of the applet: b. Give the values you found for these Mean Standard deviation C. Show how you computed the Standard Error by hand and give the value of the Standard Error. d. Show how you computed the margin of error and give the value of the margin of error. e. Find and interpret the confidence interval. f. If you want to find a confidence interval with 99% confidence and a margin of error of 5.0 how large a sample of NHL players would you need? Show your work.Player Position Age Games 2 Chris Tierr C 24 81 3 Magnus P: LW 27 80 4 Bobby Rye LW 31 78 5 Dylan DeN D 25 77 Cody Ceci D 25 74 7 Brady Tka LW 19 71 8 Colin Whit C 22 71 9 Mikkel Bo RW 29 71 10 Thomas C D 22 70 11 Zack Smith C 30 70 12 Christian J D 22 61 13 Mark Ston RW 26 59 14 Ryan Dzin C 26 57 15 Maxime LD 21 56 16 Mark Bord D 29 53 17 Ben Harpy D 24 51 18 Matt Duct C 28 50 19 Jean-Gabr C 26 39 20 Tom Pyatt C 31 37 21 Rudolfs BE LW 21 36 22 Christian \\D 23 30 23 Anthony [ LW 23 21 24 Brian Gibb C 30 20 25 Drake Bat C 20 20 26 Oscar Ling C 27 20 27 Nick Paul LW 23 20