The researcher's null hypotheses is H₀: σ² ≤ 22. A sample of n = 25 items yields a sample variance of s² = 28.5. The test statistic is: A)31.09. B)26.42. C)must know if it is a one-tailed test. D)must know α to answer.

Question

Quizplus · Accepted Answer

The test statistic for testing a variance with known population mean is given by:

χ² = (n-1)s² / σ²

Substituting the given values, we get:

χ² = (25-1)(28.5) / 22 = 31.09

Therefore, the correct choice is A.

The Researcher's Null Hypotheses Is H0: σ2 ≤ 22

The Researcher's Null Hypotheses Is H₀: σ² ≤ 22