Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu \neq 43$ at a level of significance of $\alpha = 0.05$ and are given sample statistics $\mathrm { n } = 35$, $\bar { x } = 42.1$, and $\sigma = 2.7$. Compute the value of the test statistic. Round your answer to two decimal places.
A) $- 1.97$
B) $- 3.12$
C) $- 2.86$
D) $- 1.83$

Question

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: $z = \frac{42.1 - 43}{2.7 / \sqrt{35}}$, which rounds to $-1.97$.

Test Hypotheses About a Population Mean with Known Using the Classical