A sample of 51 observations yielded a sample standard deviation of 5. If we want to test H₀: σ² = 20, the test statistic is A) 62.5. B) 12.5. C) 51.25. D) 50.

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Quizplus · Accepted Answer

The test statistic for testing the variance is calculated using the formula: (n-1)s^2/σ^2. Here, n = 51, s = 5, and σ^2 = 20. Plugging in these values gives (51-1)(5^2)/20 = 62.5.

A Sample of 51 Observations Yielded a Sample Standard Deviation