Homework 12 / Task 3 Task 2 Task 4 D 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 Open Hockey data is it reasonable to claim that the players who played 55 or less games committed less penalties in minutes) man the players who played more than 55 games? CAREFUL For some players, some data might be missing in this case, just remove the players) from the list. (Pick the closest answer) 11. What test/procedure did you perform? (5 points) Oa. One-sided t-test Ob Two Sided t-test Oc. Regression Od Confidence interval 12. Why did you choose this test procedure? (5 points) Oa We are comparing the average number of penalties with a specific number Ob We are checking if the average of one variable is lower than the average of the other variable Oc. We are checking if the average of one variable is significantly different than the average of the other variable Od. We are comparing the average number of games with a specific number 13. What is the P-value/margin of error? (6 points) O a. 2.3047E-05 Ob 3.07422E-09 OC 6.14845E-09 Od 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. Ob The P-value is much smaller than 5% thus the test result is conclusive Oc. 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 56 games Od. The prediction interval for the true average number of penalties (in minutes) of players with 55 or less games played is 30 000 41. 1871 15. What is the conclusion? (6 points) O a. We are confident that the players who committed less penalties (in minutes) played on average 55 games or less Ob We are confident that players who played 55 or less games committed less penalties (in minutes) than players who played more than 55 games Oc. 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 Od. None of these Task 2 9 1 Game played Penalties (minutes) 2 15 3 15 12 36 16 4 8 16 5 19 26 34 22 7 8 24 9 25 10 5 26 10 11 28 2 12 28 53 13 28 49 14 29 B 15 30 54 16 30 18 19 20 31 32 32 46 67 22 2 71 10 29 EE SE SE SE 22 23 74 25 26 28 31 32 33 35 35 36 36 37 37 38 38 38 39 39 39 39 39 40 -55 26 35 22 34 120 27 24 32 16 37 20 37 14 34 35 35 17 VE 39 40 41 54 20 4 44 41 41 79 45 62 G7 48 50 18 32 50 CT 1 46 B 54 10 3 54 01 47 47 47 57 58 59 60 61 62 26 22 12 12 83 30 47 47 47 47 48 63 64 65 40 26 45 47 20 48 48 48 48 66 67 68 69 70 42 103 44 50 4 71 72 73 74 75 76 77 7B 79 48 49 49 50 50 50 52 52 52 16 22 80 81 82 83 39 123 60 80 42 14 26 52 25 ESS 36 B7 54 54 54 55 55 55 55 56 56 56 56 56 57 57 57 57 57 57 58 21 89 90 91 101 45 92 92 94 95 96 56 97 GB 99 100 101 102 103 104 105 58 60 60 00 60 61 61 107 10 100 110 711 112 02 52 62 91 45 54 113 114 115 116 63 63 63 63 64 64 39 54 116 119 120 121 122 123 64 64 64 64 92 22 70 27 52 45 151 92 68 125 126 127 128 129 130 1311 122 130 134 65 65 65 65 65 65 65 65 65 65 66 66 06 66 66 66 67 67 67 07 67 67 74 136 57 69 DE 130 139 140 141 142 142 144 145 146 36 147 148 149 68 68 68 140 116 77 68 31 151 255 68 155 20 00 99 155 156 157 150 159 160 101 162 16 154 68 60 70 70 70 70 71 71 1 BER 100 157 72 72 72 103 Homework 12 / Task 3 Task 2 Task 4 D 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 Open Hockey data is it reasonable to claim that the players who played 55 or less games committed less penalties in minutes) man the players who played more than 55 games? CAREFUL For some players, some data might be missing in this case, just remove the players) from the list. (Pick the closest answer) 11. What test/procedure did you perform? (5 points) Oa. One-sided t-test Ob Two Sided t-test Oc. Regression Od Confidence interval 12. Why did you choose this test procedure? (5 points) Oa We are comparing the average number of penalties with a specific number Ob We are checking if the average of one variable is lower than the average of the other variable Oc. We are checking if the average of one variable is significantly different than the average of the other variable Od. We are comparing the average number of games with a specific number 13. What is the P-value/margin of error? (6 points) O a. 2.3047E-05 Ob 3.07422E-09 OC 6.14845E-09 Od 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. Ob The P-value is much smaller than 5% thus the test result is conclusive Oc. 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 56 games Od. The prediction interval for the true average number of penalties (in minutes) of players with 55 or less games played is 30 000 41. 1871 15. What is the conclusion? (6 points) O a. We are confident that the players who committed less penalties (in minutes) played on average 55 games or less Ob We are confident that players who played 55 or less games committed less penalties (in minutes) than players who played more than 55 games Oc. 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 Od. None of these Task 2 9 1 Game played Penalties (minutes) 2 15 3 15 12 36 16 4 8 16 5 19 26 34 22 7 8 24 9 25 10 5 26 10 11 28 2 12 28 53 13 28 49 14 29 B 15 30 54 16 30 18 19 20 31 32 32 46 67 22 2 71 10 29 EE SE SE SE 22 23 74 25 26 28 31 32 33 35 35 36 36 37 37 38 38 38 39 39 39 39 39 40 -55 26 35 22 34 120 27 24 32 16 37 20 37 14 34 35 35 17 VE 39 40 41 54 20 4 44 41 41 79 45 62 G7 48 50 18 32 50 CT 1 46 B 54 10 3 54 01 47 47 47 57 58 59 60 61 62 26 22 12 12 83 30 47 47 47 47 48 63 64 65 40 26 45 47 20 48 48 48 48 66 67 68 69 70 42 103 44 50 4 71 72 73 74 75 76 77 7B 79 48 49 49 50 50 50 52 52 52 16 22 80 81 82 83 39 123 60 80 42 14 26 52 25 ESS 36 B7 54 54 54 55 55 55 55 56 56 56 56 56 57 57 57 57 57 57 58 21 89 90 91 101 45 92 92 94 95 96 56 97 GB 99 100 101 102 103 104 105 58 60 60 00 60 61 61 107 10 100 110 711 112 02 52 62 91 45 54 113 114 115 116 63 63 63 63 64 64 39 54 116 119 120 121 122 123 64 64 64 64 92 22 70 27 52 45 151 92 68 125 126 127 128 129 130 1311 122 130 134 65 65 65 65 65 65 65 65 65 65 66 66 06 66 66 66 67 67 67 07 67 67 74 136 57 69 DE 130 139 140 141 142 142 144 145 146 36 147 148 149 68 68 68 140 116 77 68 31 151 255 68 155 20 00 99 155 156 157 150 159 160 101 162 16 154 68 60 70 70 70 70 71 71 1 BER 100 157 72 72 72 103