Find the standardized test statistic t for a sample with $$\mathrm { n } = 10 , \overline { \mathrm { x } } = 7.9 , \mathrm {~s} = 1.3 \text {, and } \alpha = 0.05 \text { if } \mathrm { H } _ { 0 } : \mu \geq 8.8 \text {. Round }$$ 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, $t = \frac{7.9 - 8.8}{(1.3/\sqrt{10})}$ results in $t \approx -2.189$.

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