You wish to test the claim that μ ≠ 14 at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 35, $\overline { \mathrm { x } } = 13.1$ Assume the population standard deviation is 2.7. Compute the value of the standardized 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 standardized test statistic (z-score) is calculated using the formula $z = \frac{\overline{x} - \mu}{\sigma / \sqrt{n}}$, where $\overline{x}$ is the sample mean, $\mu$ is the population mean, $\sigma$ is the population standard deviation, and $n$ is the sample size. Plugging in the given values: $z = \frac{13.1 - 14}{2.7 / \sqrt{35}} \approx -1.97$.

You Wish to Test the Claim That μ ≠ 14 α\alphaα

You Wish to Test the Claim That μ ≠ 14 $\alpha$