Correct Answer: Correct answer is: (C) Can be one tailed as well as two tailed depending on the hypothesis.
Exam Relevance: AP Statistics, GRE, GMAT, MBA entrance exams
Difficulty: Moderate
Concept notes: The F-test is a statistical test used to compare variances or to test the overall significance of a regression model. The nature of the test (one-tailed or two-tailed) depends on the specific hypothesis being tested.
Common Mistakes: Students often mistakenly believe that the F-test is inherently a two-tailed test, which is not always the case.
Explanations: The F-test can be used in different contexts, such as comparing variances or testing the significance of a regression model. Depending on the hypothesis, the test can be one-tailed or two-tailed. For example, if the hypothesis is directional (e.g., testing if one variance is greater than another), a one-tailed test is appropriate. If the hypothesis is non-directional (e.g., testing if two variances are different), a two-tailed test is used.
Option Analysis: - Option A: Incorrect because the F-test is not inherently a two-tailed test.
- Option B: Incorrect because the F-test is not inherently a one-tailed test.
- Option C: Correct because the F-test can be one-tailed or two-tailed depending on the hypothesis.
- Option D: Incorrect because the F-test can be a one-tailed test under certain conditions.
Mnemonic: F-test Flexibility: F for Flexible
Ques 51 explanation is not related to the question…
Very useful question but plz give explanation with correct answer