A sample of 41 observations yielded a sample standard deviation of 5. If we want to test H₀: $\sigma$² = 20, the test statistic is A)100 B)10 C)51.25 D)50

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Quizplus · Accepted Answer

The test statistic for testing the variance is calculated using the formula: $(n-1)s^2/\sigma^2$. Here, $n = 41$, $s = 5$, and $\sigma^2 = 20$. So, the test statistic is $(41-1) \times 5^2 / 20 = 50$.

A Sample of 41 Observations Yielded a Sample Standard Deviation σ\sigmaσ

A Sample of 41 Observations Yielded a Sample Standard Deviation $\sigma$