Asked by Holly Phillip on Jun 03, 2024
Verified
The statement "µ ≠ 3" would be part of a ______.
A) two-tailed, directional hypothesis
B) two-tailed, non-directional hypothesis
C) one-tailed, directional hypothesis
D) one-tailed, non-directional hypothesis
Directional Hypothesis
A specific type of hypothesis that stipulates the direction of the expected relationship between variables (e.g., 'greater than', 'less than').
Non-directional Hypothesis
A hypothesis that predicts a relationship between variables without specifying the direction of the relationship.
Two-tailed
Involves hypotheses testing that considers both directions of differences (greater than or less than) without specifying which direction.
- Elucidate the functions of hypotheses within statistical analysis, particularly focusing on null and alternative hypotheses.
- Differentiate between single-tailed and dual-tailed hypotheses.
Verified Answer
LM
Leesa MendiJun 09, 2024
Final Answer :
B
Explanation :
The statement "µ ≠ 3" indicates that the hypothesis does not specify a direction of difference (greater than or less than), only that the mean is not equal to 3. This is characteristic of a non-directional hypothesis, and because it allows for differences in two directions (either greater than or less than 3), it is part of a two-tailed hypothesis.
Learning Objectives
- Elucidate the functions of hypotheses within statistical analysis, particularly focusing on null and alternative hypotheses.
- Differentiate between single-tailed and dual-tailed hypotheses.