Test Hypotheses about a Population Mean with Unknown
-Find the standardized test statistic t for a sample with $\mathrm { n } = 20 , \bar { x } = 11.2 , \mathrm {~s} = 2.0$, and $\alpha = 0.05$ if $\mathrm { H } _ { 1 } : \mu

Question

Test Hypotheses about a Population Mean with Unknown
-Find the standardized test statistic t for a sample with $\mathrm { n } = 20 , \bar { x } = 11.2 , \mathrm {~s} = 2.0$, and $\alpha = 0.05$ if $\mathrm { H } _ { 1 } : \mu < 11.6$. Round your answer to three decimal places.
A) $- 0.894$
B) $- 0.872$
C) $- 1.265$
D) $- 1.233$

Quizplus · Accepted Answer

The standardized test statistic $t$ is calculated using the formula $t = \frac{\bar{x} - \mu}{(s/\sqrt{n})}$, where $\bar{x}$ is the sample mean, $s$ is the sample standard deviation, $n$ is the sample size, and $\mu$ is the population mean under the null hypothesis. Plugging in the given values: $t = \frac{11.2 - 11.6}{(2.0/\sqrt{20})}$ results in $t \approx -0.894$.

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

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