Asked by Natasha Finkelstein on Jul 09, 2024

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A study compares 6 full-time students and 6 part-time students and obtains a value of 2.31 for the t-statistic. For α = .05 (two-tailed) , which of the following is the correct way to present this analysis?

A) t(5) = 2.31, p > .05
B) t(6) = 2.31, p < .05
C) t(10) = 2.31, p < .05
D) t(12) = 2.31, p < .01

T-Statistic

Re-defined: A value calculated from sample data during a t-test, used to assess the significance of the difference between two sample means.

α

Represents the level of significance in hypothesis testing, typically set at 0.05 or 5%.

  • Master the application and analysis of t-test findings in research contexts.
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SARAH NhlapoJul 14, 2024
Final Answer :
C
Explanation :
Since there were a total of 12 participants in the study (6 full-time + 6 part-time), the correct degrees of freedom for the t-test is 10 (12-2). The p-value is less than .05, indicating that the results are statistically significant. However, we cannot determine if the difference is significant in both directions (two-tailed) or only in one direction (one-tailed) based on the information given.