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Using the date from digital table 3, determine if reaction time is different bet

ID: 3182665 • Letter: U

Question

Using the date from digital table 3, determine if reaction time is different between males and females, between athletes and nonathletes, and if there is an interaction between gender and athletic participation.

Digital Table 3. Some Behavioral and Physical Attributes of a Sample of 165 University Students (Data obtained from a questionnaire and from measurements; names of the variables and the response codes are found at the end of the table*) Record Number Age Sex Aer Wts Smk Caf Jck Pr Rct 1 20 1 1 1 2 1 1 72 125 2 18 1 2 2 2 2 2 80 150 3 21 1 1 1 2 2 1 60 100 4 18 1 2 2 2 2 2 60 160 5 18 1 1 1 2 2 1 53 150 6 18 1 1 2 2 2 1 81 140 7 18 1 2 2 2 2 2 67 170 8 20 1 2 2 1 2 2 63 150 9 18 1 2 2 2 2 2 72 210 10 19 1 2 2 2 2 2 72 250 11 18 1 2 2 1 2 1 76 275 12 21 1 2 2 2 2 2 76 150 13 21 1 1 2 2 2 2 80 100 14 19 1 1 1 2 2 2 60 190 15 19 1 2 1 2 1 1 72 160 16 20 1 2 1 2 2 2 80 210 17 18 1 2 1 2 2 1 80 200 18 20 1 2 2 2 2 2 80 175 19 18 1 2 1 2 2 2 104 180 20 18 1 1 1 2 2 1 80 175 21 19 1 1 1 1 2 1 56 160 22 18 1 2 2 2 1 2 68 159 23 20 1 1 2 2 2 2 70 180 24 18 1 2 2 2 2 1 72 190 25 19 1 2 2 1 2 1 68 180 26 20 1 1 2 2 2 2 80 175 27 19 1 2 1 2 2 1 78 150 28 18 1 2 1 2 2 1 62 200 29 18 1 2 2 2 2 1 64 200 30 18 1 2 1 2 2 1 88 197 31 20 1 2 2 2 2 2 75 200 edited pulse rate, which had nonsense character 32 18 1 2 1 2 1 2 68 175 33 23 1 2 1 2 2 2 73 140 34 18 1 2 1 1 2 1 60 155 35 18 1 2 2 2 2 2 96 180 36 18 1 2 1 2 2 1 78 210 37 18 1 2 2 1 1 2 92 170 38 18 1 2 2 2 2 2 100 105 39 21 1 1 1 2 2 2 80 175 40 17 1 1 2 2 2 1 76 180 41 20 1 2 2 2 2 2 71 203 42 18 1 2 2 1 1 1 77 193 43 19 1 2 1 2 2 2 70 133 44 18 1 2 2 1 1 1 85 190 45 18 1 2 2 2 1 1 80 153 46 21 1 2 2 2 2 2 68 150 47 19 1 1 2 2 2 1 76 168 48 18 1 2 1 2 2 1 84 183 49 23 1 2 1 1 2 1 84 183 50 22 1 2 2 2 2 2 72 150 51 19 1 1 1 2 1 1 60 190 52 19 1 2 1 2 1 1 68 150 53 19 1 1 1 2 2 1 68 183 54 18 1 1 1 2 2 1 66 137 55 18 1 2 1 2 1 2 63 145 56 19 1 1 2 2 2 1 78 180 57 18 1 2 2 2 2 1 74 110 58 18 1 1 1 2 1 1 68 187 59 19 1 1 1 1 2 1 72 186 60 18 1 1 2 2 1 1 75 223 61 18 1 2 2 2 1 2 80 176 62 18 1 2 2 1 2 1 84 180 63 19 1 1 1 2 2 1 56 100 64 19 1 1 1 2 2 1 56 100 65 19 1 1 1 2 2 1 80 146 66 18 1 2 2 2 2 2 76 190 67 18 1 2 1 2 1 2 80 175 68 18 1 2 2 1 1 2 90 170 69 18 1 2 2 2 1 1 88 130 70 18 1 2 1 2 1 2 86 186 71 19 1 2 1 1 1 2 76 243 72 23 1 2 1 2 2 1 84 190 73 20 1 2 1 2 1 2 82 180 74 21 1 2 2 1 1 2 90 166 75 19 1 2 2 2 2 1 68 210 76 19 1 1 2 2 1 1 69 170 77 18 1 1 1 2 2 1 68 156 78 18 2 1 1 2 2 1 80 110 79 18 2 1 1 2 1 1 92 170 80 18 2 2 2 2 2 2 82 205 81 18 2 2 2 1 2 2 80 180 82 21 2 2 2 2 1 2 76 163 83 18 2 2 2 2 1 1 80 140 84 20 2 2 2 2 2 2 88 166 85 18 2 1 1 2 2 1 80 150 86 18 2 1 2 2 2 2 80 150 87 18 2 2 2 1 1 1 82 120 88 18 2 1 1 2 2 1 80 70 89 18 2 2 2 2 2 1 94 150 90 18 2 2 2 2 2 2 93 150 91 18 2 2 2 1 1 1 84 180 92 18 2 2 2 2 2 1 72 100 93 18 2 2 2 2 2 2 86 150 94 18 2 2 2 2 2 2 80 190 95 18 2 2 2 2 2 1 74 100 96 18 2 2 1 2 2 2 73 210 97 18 2 2 2 2 2 1 81 220 98 19 2 2 2 1 2 2 72 225 99 18 2 2 2 1 1 2 80 200 100 18 2 2 1 2 2 2 76 275 101 18 2 2 2 2 1 2 80 250 102 18 2 1 2 2 2 1 80 270 103 19 2 1 2 2 2 2 89 240 104 18 2 2 2 2 2 2 94 150 105 21 2 1 2 2 2 1 64 155 106 19 2 2 2 2 2 1 76 135 107 19 2 2 2 2 2 2 59 240 108 19 2 1 2 1 2 1 140 260 109 18 2 2 2 1 2 1 79 110 110 18 2 2 2 2 2 2 63 180 111 21 2 2 2 2 2 2 80 190 112 17 2 2 2 2 2 2 88 310 113 23 2 1 1 2 1 1 72 160 114 18 2 2 2 2 2 2 80 190 115 18 2 2 2 2 1 2 82 212 116 17 2 2 2 2 1 2 104 235 117 18 2 2 2 2 2 2 80 220 118 19 2 1 2 2 1 2 72 200 119 18 2 2 2 2 2 1 89 163 120 18 2 2 2 2 2 1 82 180 121 18 2 2 1 2 1 1 89 230 122 18 2 2 2 1 1 1 86 200 123 19 2 2 2 2 2 1 80 130 124 19 2 1 1 2 1 2 70 173 125 18 2 2 2 2 1 1 93 208 126 18 2 2 2 1 2 2 75 200 127 19 2 2 2 2 2 2 86 250 128 18 2 1 2 2 1 2 84 150 129 19 2 1 2 2 2 2 88 196 130 19 2 2 2 2 1 2 106 126 131 20 2 1 1 2 1 2 65 176 132 18 2 1 1 2 2 1 68 206 133 20 2 1 2 2 2 2 80 177 134 18 2 2 2 2 1 1 102 181 135 24 2 2 2 2 2 2 120 136 136 18 2 2 2 1 1 2 88 163 137 18 2 2 2 2 2 1 91 175 138 18 2 2 2 2 1 1 66 167 139 19 2 1 2 2 2 2 85 156 140 18 2 1 2 2 2 1 43 213 141 19 2 1 1 2 2 1 70 228 142 18 2 2 2 2 2 1 84 243 143 37 2 2 2 1 1 2 80 225 144 18 2 2 2 2 1 2 72 200 145 19 2 1 2 2 2 2 126 163 146 19 2 1 1 2 1 2 92 225 147 38 2 2 2 2 1 2 85 241 148 18 2 1 2 2 1 2 76 130 149 28 2 1 2 2 2 2 108 207 150 18 2 2 2 2 1 2 107 255 151 18 2 2 2 2 2 1 76 223 152 18 2 1 1 2 2 1 64 150 153 18 2 2 2 2 2 2 88 190 154 18 2 2 2 2 2 1 80 160 155 18 2 1 1 2 1 2 64 183 156 18 2 2 2 2 2 1 88 166 157 20 2 2 2 2 1 2 84 172 158 18 2 1 2 2 2 1 65 152 159 18 2 1 1 2 2 1 63 250 160 18 2 1 1 2 2 1 63 250 161 18 2 2 2 2 1 2 84 250 162 19 2 1 2 2 1 2 80 200 163 24 2 1 1 2 2 2 120 200 164 23 2 2 2 2 2 2 101 210 165 18 2 2 2 2 2 1 66 170 * Variables and codes Sex 1 = male, 2 = female Aer: Response to the question “Do you do aerobic exercise on a regular basis?” 1 = yes, 2 = no Wts: Response to the question “Do you work out with weights on a regular basis?” 1 = yes, 2 = no Smk: Response to the question “Do you smoke?” 1 = yes, 2 = no Caf: Response to the question “Have you consumed caffeine in the past 2 hours?” 1 = yes, 2 = no Jck: Response to the question “Have you participated in a varsity sport within the past year?” 1 = yes, 2 = no Pr: Pulse rate in beats per minute Rct: Reaction time in milliseconds

Explanation / Answer

Answer:

Using the date from digital table 3, determine if reaction time is different between males and females, between athletes and nonathletes, and if there is an interaction between gender and athletic participation.

MINITAB used.

General Linear Model: Rct versus Sex, Jck

Method

Factor coding (-1, 0, +1)

Factor Information

Factor Type   Levels Values

Sex     Fixed       2 1, 2

Jck     Fixed       2 1, 2

Analysis of Variance

Source      DF Adj SS Adj MS F-Value P-Value

Sex        1    8770    8770     5.72    0.018

Jck        1    5711    5711     3.73    0.055

Sex*Jck    1    4021    4021     2.62    0.107

Error      161 246802    1533

Total      164 268054

Model Summary

      S   R-sq R-sq(adj) R-sq(pred)

39.1527 7.93%      6.21%       3.30%

Test for main effect Gender, Calculated F=5.72, P=0.018 which is < 0.05 level.

Ho is rejected. Sex is significant.

Test for main effect athletic participation, Calculated F=3.73, P=0.055 which is > 0.05 level.

Ho is not rejected. Athletic participation is not significant.

Test for interaction effect, Calculated F=2.62, P=0.107 which is > 0.05 level.

Ho is not rejected. Interaction is not significant.

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