Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu \neq 47$ at a level of significance of $\alpha = 0.01$ and are given sample statistics $n = 40$, $\bar { x } = 48.8$, and $\sigma = 4.3$. Compute the value of the test statistic. Round your answer to two decimal places.
A) $2.65$
B) $3.51$
C) $2.12$
D) $1.96$

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula $z = \frac{{\bar{x} - \mu}}{{\sigma / \sqrt{n}}}$, where $\bar{x} = 48.8$, $\mu = 47$, $\sigma = 4.3$, and $n = 40$. Plugging in these values gives $z = \frac{{48.8 - 47}}{{4.3 / \sqrt{40}}}$ which rounds to $2.65$.

Test Hypotheses About a Population Mean with Known Using the Classical