In the task below select any of the following tests/procedures:Regression, confidence intervals, one-sided t-test, or two-sided t-test.All the procedures should be done with a 5% P-value or a 95% confidence interval.

• OpenHockeydata. Is it reasonable to claim that theplayers who played 55 or less games committed less penalties (in minutes) than the players who played more than 55 games?CAREFUL:For some players, some data might be missing. In this case just remove the player(s) from the list.(Pick the closest answer)

11. What test/procedure did you perform? (5 points)

• a. One-sided t-test
• b. Two sided t-test
• c. Regression
• d. Confidence Interval

12. Why did you choose this test/procedure? (5 points)

• a. We are comparing the average number of penalties with a specific number.
• b. We are checking if the average of one variable is lower than the average of the other variable.
• c. We are checking if the average of one variable is significantly different than the average of the other variable.
• d. We are comparing the average number of games with a specific number.

13. What is the P-value/margin of error? (5 points)

• a. 2.8047E-05
• b. 3.07422E-09
• c. 6.14845E-09
• d. 5.5437

14. What is the Statistical interpretation? (5 points)

• a. The P-value is much smaller than 5% thus we are very certain that the slope of the regression line is not zero.
• b. The P-value is much smaller than 5% thus the test result is conclusive.
• c. The P-value is much greater than 5% thus we cannot claim that players who played 55 or less games committed less penalties (in minutes) than players who played more than 55 games.
• d. The prediction interval for the true average number of penalties (in minutes) of players with 55 or less games played is [30.099, 41.187]

15. What is the conclusion? (5 points)

• a. We are confident that the players who committed less penalties (in minutes) played on average 55 games or less.
• b. We are confident that players who played 55 or less games committed less penalties (in minutes) than players who played more than 55 games.
• c. We are NOT confident that players who played 55 or less games committed less penalties (in minutes) than players who played more than 55 games.
• d. None of these.

Position League Game played Goals Assists TotalPlays Penalties (minutes) +/- GAA-GoalsAgnstAvg Saves% D AJHL 53 10 19 29 123 D Allsvenskan 39 3 14 17 32 44 D CCHL 39 7 16 23 16 D EJHL 41 7 23 30 30 D KHL 15 1 0 1 4 1 D MHSL U18 16 5 19 24 D NCAA 40 7 11 18 44 -1 D NCAA 32 5 4 9 47 -2 D OHL 57 22 67 89 57 52 D OHL 68 8 55 63 40 3 D OHL 63 3 20 23 91 21 D OHL 68 2 18 20 140 -14 D OHL 67 4 17 21 54 46 D OHL 41 2 21 23 68 11 D OHL 55 8 47 55 14 38 D OHL 66 7 19 26 64 -9 D OHL 68 3 9 12 116 10 D QMJHL 57 12 50 62 46 6 D QMJHL 66 2 30 32 74 16 D QMJHL 68 11 33 44 77 31 D QMJHL 67 10 29 39 80 -9 D QMJHL 58 9 34 43 54 31 D QMJHL 68 20 26 46 16 26 D QMJHL 63 9 26 35 45 14 D SHL 43 7 14 21 52 21 D SHL 45 0 10 10 8 3 D SHL 45 2 5 7 12 5 D SHL 28 0 0 0 2 -6 D Slovakia 35 2 4 6 71 -27 D SuperElit 30 9 22 31 54 D SuperElit 38 1 19 20 120 D USDP 47 5 7 12 46 D USDP 65 5 23 28 46 D USDP 39 2 6 8 37 D USDP 39 12 9 21 20 D USDP 58 5 28 33 20 D USDP 62 3 16 19 67 D USHL 57 14 25 39 50 -7 D USHL 54 0 22 22 60 -1 D USHL 48 2.4 0.918 D USHS 55 21 44 65 26 D USHS D USHS 48 19 23 42 26 D USHS 47 23 19 42 26 D WHL 48 7 14 21 45 15 D WHL 72 1 17 18 117 -19 D WHL 71 16 39 55 26 20 D WHL 68 12 40 52 31 17 D WHL 67 10 26 36 140 -4 D WHL 70 5 32 37 43 -15 D WHL 65 7 17 24 169 20 D WHL 48 7 17 24 47 -19 D WHL 57 8 19 27 87 3 D WHL 65 7 30 37 151 45 D WHL 70 3 23 26 77 33 D WHL 71 5 25 30 65 13 D WHL 64 6 33 39 62 16 F BCHL 56 41 79 120 20 F CCHL 19 13 13 26 26 11 F Czech U20 16 10 9 19 36 5 F EJHL 42 21 42 63 50 F Jr. A SM-liiga 30 9 29 38 6 20 F KHL 47 8 5 13 22 1 F KHL 42 13 11 24 18 9 F KHL 35 2 6 8 10 -6 F Liiga 43 13 27 40 2 11 F NCAA 35 13 32 45 29 17 F NCAA 37 6 11 17 22 -10 F NCAA 38 11 8 19 27 -1 F OHL 56 58 46 104 54 10 F OHL 57 31 48 79 42 32 F OHL 56 25 53 78 31 13 F OHL 61 24 39 63 136 -14 F OHL 68 28 39 67 42 10 F OHL 68 16 50 66 26 1 F OHL 60 16 12 28 133 1 F OHL 66 32 32 64 83 -5 F OHL 64 5 12 17 92 -3 F OHL 67 22 36 58 36 3 F OHL 65 22 35 57 92 -10

F OHL 57 40 66 106 56 46 F OHL 63 48 58 106 54 17 F OHL 64 50 40 90 72 7 F OHL 62 22 43 65 49 32 F OHL 36 16 24 40 26 10 F OHL 52 20 34 54 22 16 F OHL 63 36 21 57 39 16 F OHL 64 20 30 50 70 -17 F OHL 62 21 23 44 129 20 F OHL 64 41 25 66 27 -10 F OHL 60 29 33 62 35 27 F OHL 47 19 35 54 12 -5 F OHL 65 37 42 79 54 25 F OHL 64 18 14 32 52 -10 F OHL 61 19 41 60 37 2 F OHL 67 37 48 85 32 18 F OJHL 44 46 48 94 46 F OJHL 49 27 48 75 44 F QMJHL 56 36 31 67 66 14 F QMJHL 66 19 31 50 74 20 F QMJHL 66 22 35 57 67 -2 F QMJHL 68 11 19 30 80 3 F QMJHL 62 28 36 64 54 -4 F QMJHL 22 10 13 23 34 4 F QMJHL 58 24 38 62 37 1 F QMJHL 63 13 34 47 54 0 F QMJHL 66 15 18 33 69 -5 F QMJHL 67 15 45 60 38 41 F QMJHL 68 28 27 55 60 -12 F SHL 50 7 10 17 4 -6 F SHL 50 5 11 16 14 -3 F SHL 45 5 5 10 10 4 F SHL 47 4 6 10 12 -1 F SHL 33 4 6 10 2 5 F SHL 36 1 1 2 35 -7 F Slovakia 48 7 8 15 20 6 F SuperElit 35 13 13 26 34 F SuperElit 30 14 24 38 6 F SuperElit 37 29 26 55 34 F SuperElit 31 8 5 13 46 F SuperElit 39 21 29 50 37 F SuperElit 35 30 27 57 55 F SuperElit 40 15 19 34 80 F SuperElit 32 7 20 27 22 F SuperElit 28 6 9 15 53 F USDP 28 14 14 28 49 F USDP 47 14 16 30 83 F USDP 47 10 25 35 30 F USDP 41 21 11 32 79 F USDP 46 23 13 36 38 F USDP 47 16 16 32 40 F USDP 43 14 24 38 48 F USDP 38 18 17 35 24 F USDP 65 26 26 52 24 F USHL 60 28 31 59 78 7 F USHL 56 17 33 50 101 -9 F USHL 55 21 15 36 52 -3 F USHL 60 33 50 83 18 -6 F USHL 52 22 21 43 68 -12 F USHS 26 33 23 56 10 F USHS 15 14 13 27 12 F USHS 50 87 70 157 16 F USHS 24 30 22 52 14 F USHS 48 42 39 81 42 F USHS 29 25 44 69 8 F USHS 49 55 50 105 50 39 F USHS 52 24 22 46 39 F USHS 40 26 41 67 54 F USHS 54 23 23 46 80 F USHS 41 23 26 49 48 F WHL 61 48 48 96 89 51 F WHL 70 32 56 88 82 20 F WHL 55 28 42 70 25 22 F WHL 70 30 20 50 93 -5 F WHL 68 37 18 55 99 -23 F WHL 61 31 13 44 12 -24 F WHL 48 1 3 4 103 -17 F WHL 54 24 24 48 42 18 F WHL 71 25 44 69 53 17 F WHL 65 36 24 60 68 11 F WHL 16 10 9 19 8 -3 F WHL 65 28 37 65 44 14 F WHL 72 37 28 65 26 8 F WHL 65 13 27 40 95 -7 F WHL 71 27 41 68 203 22 F WHL 26 7 9 16 6 9 F WHL 72 21 30 51 38 12 F WHL 65 16 54 70 26 -10 F WHL 72 25 36 61 101 9 G Liiga 33 1.91 0.932 G OHL 55 3.04 0.913 G OHL 55 2.99 0.911 G OHL 18 3.26 0.909 G Russia3 9 2.67 G SuperElit 22 3.05 0.903 G SuperElit 37 2.05 0.927 G USDP 25 2.21 0.913 G WHL 13 2.49 0.907 G WHL 62 3.09 0.914 G WHL 34 2.26 0.925