If the tukey's hsd = 5, treatmenta mean is 1, treatmentb mean is 4, and treatmentc mean is 8, then the researcher can conclude that treatmenta is significantly different from both treatmentb and treatmentc. true or false?

The correct answer is - false.

Explanation:

Tukey's range test also called Tukey's method or Tukey's test or Tukey's HSD (honestly significant difference). It is a one-step method or test to compare multiple comparisons and based on statistical values.

Tukey's HSD can also be used to check if that is significantly different from one treatment to another. In this given question all groups differ by more than HSD, so every single treatment is significantly different from the other.

Thus, the correct answer is - false.

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