Question

The correct conclusion drawn from the given t' value is correct for what reason? group of answer choices

a. the difference in mean values between the two datasets was less than the combined uncertainty.
b. the difference in mean values between the two datasets was about the same as the combined uncertainty.
c. the difference in mean values between the two datasets was greater than the combined uncertainty.
d. there was a factor of 0.35 difference between the arms and legs data.

Answer 1

The correct conclusion from a t' value that is less than the critical value is that there is no significant difference between the means of the datasets, and any observed difference is less than the combined uncertainty.

Step-by-step explanation:

The correct conclusion drawn from the given t' value involves understanding whether the observed difference between two dataset means is statistically significant in relation to the variability (or uncertainty) within those datasets. To determine this, we compare the calculated t-value to the critical value from the t-distribution at a specific level of significance, such as α = 0.05.

If the calculated t-value is less than the critical value (e.g., t-value < 2.045 for a two-tailed test with a t29 distribution at α = 0.05), we fail to reject the null hypothesis, indicating that any difference in means is not statistically significant. Therefore, the correct conclusion corresponding to the given t' value would be that 'the difference in mean values between the two datasets was less than the combined uncertainty.' This means that the results do not provide sufficient evidence to suggest a statistically significant difference between the datasets.