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Which of the following t-test results has the greatest chance of statistical significance?

A. t(28) = 1.70
B. t(14) = 1.70
C. t(18) = 1.70
D. t(10) = 1.70

Answer :

The t-test result with the greatest chance of statistical significance is likely to be t(28) = 1.70. Option 1 is correct.

The degrees of freedom (df) and the t-value must both be taken into account. In terms of standard errors, the t-value indicates how far the sample mean deviates from the population mean. The sample size is reflected in the degrees of freedom, which also affect the t-distribution's shape.

Among the possibilities provided:

  • Compared to lower sample sizes, t(28) = 1.70 has a bigger sample size (more degrees of freedom), which generally increases the likelihood of statistical significance.
  • t(14) = 1.70: This indicates a sample size that is more than the first two but smaller than the first.
  • t(18) = 1.70: With a marginally bigger sample size, this option is comparable to the second one.
  • The choice with the smallest sample size is t(10) = 1.70.

So, the t-test result with the greatest chance of statistical significance is likely to be t(28) = 1.70.

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