For a sample size of n = 100, and σ = 10, we want to test the hypothesis H₀: μ = 100. The sample mean is 103. The test statistic is: A)1.645 B)1.960 C)3.000 D)0.300

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Quizplus · Accepted Answer

The test statistic is calculated using the formula $z = \frac{\bar{x} - \mu}{(\sigma / \sqrt{n})}$, where $\bar{x}$ is the sample mean, $\mu$ is the population mean under the null hypothesis, $\sigma$ is the population standard deviation, and $n$ is the sample size. Plugging in the given values: $z = \frac{103 - 100}{(10 / \sqrt{100})} = \frac{3}{1} = 3.000$.

For a Sample Size of N = 100, and σ