Test Hypotheses about a Population Mean with Unknown
-Find the standardized test statistic $t$ for a sample with $\mathrm { n } = 15 , \overline { \mathrm { x } } = 10.8 , \mathrm {~s} = 0.8$, and $\alpha = 0.05$ if $\mathrm { H } _ { 0 } : \mu \leq 10.5$. Round your answer to three decimal places.
A) $1.452$
B) $1.728$
C) $1.631$
D) $1.312$

Question

Quizplus · Accepted Answer

The correct answer is A because the standardized test statistic $t$ is calculated as:$$t = \frac{\overline{x} - \mu_0}{s/\sqrt{n}} = \frac{10.8 - 10.5}{0.8/\sqrt{15}} = 1.452$$

Test Hypotheses About a Population Mean with Unknown -Find the Standardized

Test Hypotheses About a Population Mean with Unknown
-Find the Standardized