To determine if alcohol consumption impacts students’ cognitive performance, ten students partake in an experiment on three consecutive Saturdays, with their time in seconds to solve a puzzle (time) recorded after a number of alcoholic drinks (drinks). The file Part1_Dataset7 displays the time to complete the same puzzle for the randomly assigned drink options: no alcohol on one of the Saturdays (zero standard drinks, coded 1), one standard drink of alcohol on another Saturday (coded 2), and five standard drinks of alcohol on another (coded 3). Hint. The variable “student” is the blocking variable. Based on the information given, answer the following questions. (a) At the 5% level of significance, is blocking effective? Follow all the necessary steps to perform the test and verify your results using Excel/PHStat. student drinks time 1 1 156 2 1 166 3 1 148 4 1 160 5 1 139 6 1 151 7 1 158 8 1 167 9 1 142 10 1 219 1 2 160 2 2 165 3 2 184 4 2 192 5 2 197 6 2 172 7 2 189 8 2 179 9 2 200 10 2 193 1 3 236 2 3 238 3 3 257 4 3 242 5 3 282 6 3 253 7 3 270 8 3 256 9 3 267 10 3 259
Question
To determine if alcohol consumption impacts students’ cognitive performance, ten students partake in an experiment on three consecutive Saturdays, with their time in seconds to solve a puzzle (time) recorded after a number of alcoholic drinks (drinks). The file Part1_Dataset7 displays the time to complete the same puzzle for the randomly assigned drink options: no alcohol on one of the Saturdays (zero standard drinks, coded 1), one standard drink of alcohol on another Saturday (coded 2), and five standard drinks of alcohol on another (coded 3). Hint. The variable “student” is the blocking variable. Based on the information given, answer the following questions. (a) At the 5% level of significance, is blocking effective? Follow all the necessary steps to perform the test and verify your results using Excel/PHStat. student drinks time 1 1 156 2 1 166 3 1 148 4 1 160 5 1 139 6 1 151 7 1 158 8 1 167 9 1 142 10 1 219 1 2 160 2 2 165 3 2 184 4 2 192 5 2 197 6 2 172 7 2 189 8 2 179 9 2 200 10 2 193 1 3 236 2 3 238 3 3 257 4 3 242 5 3 282 6 3 253 7 3 270 8 3 256 9 3 267 10 3 259
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