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10 university students volunteered to participate in a study investigating the effect alcohol has on reaction time. Each student performed a reaction test. They then consumed 2 standard alcholic drinks. 20 mins after consumption they performed the same reaction test.The results from this study are going to be used to do a t-test of differences.Use the drop-down menus to identify if the following conditions for this test are satisfied or not.Paired data. AnswerThe sample is representative of the population. AnswerThe sampling distribution is normal.

Question

10 university students volunteered to participate in a study investigating the effect alcohol has on reaction time. Each student performed a reaction test. They then consumed 2 standard alcholic drinks. 20 mins after consumption they performed the same reaction test.The results from this study are going to be used to do a t-test of differences.Use the drop-down menus to identify if the following conditions for this test are satisfied or not.Paired data. AnswerThe sample is representative of the population. AnswerThe sampling distribution is normal.

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Solution

Paired data: Satisfied. The same group of students is tested before and after alcohol consumption, making the data paired.

The sample is representative of the population: Not Satisfied. The sample size is very small (only 10 students) and they are all university students, which may not represent the entire population.

The sampling distribution is normal: Cannot be determined from the information given. We would need more information about the distribution of the reaction times to determine if it is normal or not.

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