Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu 21$ at a level of significance of $\alpha = 0.05$ and are given sample statistics $n = 50$, $\bar { x } = 21.3$, and $\sigma = 1.2$. Compute the value of the test statistic. Round your answer to two decimal places.
A) $1.77$
B) $2.31$
C) $0.98$
D) $3.11$

Question

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu > 21$ at a level of significance of $\alpha = 0.05$ and are given sample statistics $n = 50$, $\bar { x } = 21.3$, and $\sigma = 1.2$. Compute the value of the test statistic. Round your answer to two decimal places.
A) $1.77$
B) $2.31$
C) $0.98$
D) $3.11$

Quizplus · Accepted Answer

The test statistic for testing a hypothesis about a population mean with a known standard deviation is calculated using the formula $Z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}}$. Plugging in the given values, $Z = \frac{21.3 - 21}{1.2 / \sqrt{50}} \approx 1.77$.

Test Hypotheses About a Population Mean with Known Using the Classical