Find the standardized test statistic t for a sample with $\mathrm { n } = 12 , \overline { \mathrm { x } } = 31.2 , \mathrm {~s} = 2.2 \text {, and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 30$ Round your answer to three decimal places.
A)1.890
B)1.991
C)2.132
D)2.001

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, $t = \frac{31.2 - 30}{2.2 / \sqrt{12}} \approx 1.890$.

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