A researcher wants to explore the relationship between two variables: Time 1 and Time 2.Time 1 Time 2421 400390 383459 436384 362403 392If Time 1 is the time (in seconds) that it took for a random sample of five female college tennis players to run a mile, and Time 2 is the time (in seconds) of a random sample of five female college basketball players to run a mile, which of the following is the appropriate inference method to analyze these data? Matched pairs Two independent samples Inference for regression
Question
A researcher wants to explore the relationship between two variables: Time 1 and Time 2.Time 1 Time 2421 400390 383459 436384 362403 392If Time 1 is the time (in seconds) that it took for a random sample of five female college tennis players to run a mile, and Time 2 is the time (in seconds) of a random sample of five female college basketball players to run a mile, which of the following is the appropriate inference method to analyze these data? Matched pairs Two independent samples Inference for regression
Solution 1
The appropriate inference method to analyze these data is "Two independent samples". This is because the data from the tennis players and the basketball players are not paired in any way. Each group is a separate, independent sample. The times of the tennis players do not depend on the times of the basketball players, and vice versa. Therefore, you would use a two independent samples method to analyze this data.
Solution 2
The appropriate inference method to analyze these data is "Two independent samples". This is because the data sets represent two different groups (female college tennis players and female college basketball players) that are not paired or matched in any way. The times they took to run a mile are independent of each other. Therefore, you would use a two-sample t-test to compare the means of the two groups and see if there is a significant difference.
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