Question

Imagine that two researchers conducted different studies with similar sample-sizes. Researcher A found a t-value of 2, and Researcher B found a t-value of 4. Based on these numbers alone, which result was less likely to have been produced by chance alone. a. Researcher A's result. b. Researcher B's result. c. t-values give you no information about the likelihood that a result was due to chance. d. only the degrees of freedom can tell you if a result is due to chance.

Answer 1

c. t-values give you no information about the likelihood that a result was due to chance.

Explanation:

Although sample sizes are equal for the given scenario, there would be a possibility of being different sample means and different variations. If variation or standard deviation in the numbers are small, this gives you a larger t-value and if variation or standard deviation is larger, this gives you a smaller t-value. There is no any role of the only chance factor. Both values 2 and 4 are possible for the t-value depends upon sample mean and sample standard deviations.