Find the standardized test statistic t for a sample with $\mathrm { n } = 12 , \overline { \mathrm { x } } = 21.7 , \mathrm {~s} = 2.1 \text {, and } \alpha = 0.01 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu \neq 22.2$ 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: $t = \frac{21.7 - 22.2}{2.1 / \sqrt{12}} \approx -0.825$.

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