Find the standardized test statistic t for a sample with $$\mathrm { n } = 12 , \overline { \mathrm { x } } = 15.7 , \mathrm {~s} = 2.1 , \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 1 } : \mu \neq 16.2$$ Round your answer to three decimal places.
A) -0.825
B) -0.008
C) -0.037
D) -0.381

Question

Quizplus · Accepted Answer

The standardized test statistic $t$ is calculated using the formula $t = \frac{\overline{x} - \mu}{(s / \sqrt{n})}$, where $\overline{x}$ is the sample mean, $\mu$ is the population mean under the null hypothesis, $s$ is the sample standard deviation, and $n$ is the sample size. Plugging in the given values: $t = \frac{15.7 - 16.2}{(2.1 / \sqrt{12})}$ results in $t \approx -0.825$.

Find the Standardized Test Statistic T for a Sample With \mathrm