Find the standardized test statistic t for a sample with $\mathrm { n } = 10 , \overline { \mathrm { x } } = 16.5 , \mathrm {~s} = 1.3 , \text { and } \alpha = 0.05 \text { if } \mathrm { H } _ { 0 } : \mu \geq 17.4$ Round your answer to three decimal places.
A)-2.189
B)-3.186
C)-3.010
D)-2.617

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: $t = \frac{16.5 - 17.4}{1.3 / \sqrt{10}} \approx -2.189$.

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