Find the standardized test statistic t for a sample with $$\mathrm { n } = 12 , \overline { \mathrm { x } } = 30.2 , \mathrm {~s} = 2.2 , \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 29 . \text { Round }$$ 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 as:$$t = \frac{\overline{x} - \mu_0}{s/\sqrt{n}}$$where:* $\overline{x}$ is the sample mean* $\mu_0$ is the hypothesized population mean* s is the sample standard deviation* n is the sample sizePlugging in the given values, we get:$$t = \frac{30.2 - 29}{2.2/\sqrt{12}} = 1.890$$Therefore, the correct answer is A.

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