Find the standardized test statistic t for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 28 , \mathrm {~s} = 3 \text {, and } \alpha = 0.005 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu 27 . \text { Round }$ your answer to three decimal places.
A)1.667
B)1.997
C)1.452
D)1.239

Question

Find the standardized test statistic t for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 28 , \mathrm {~s} = 3 \text {, and } \alpha = 0.005 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu > 27 . \text { Round }$ your answer to three decimal places.
A)1.667
B)1.997
C)1.452
D)1.239

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: $t = \frac{28 - 27}{3 / \sqrt{25}} = \frac{1}{3 / 5} = \frac{5}{3} = 1.667$.

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