You wish to test the claim that $\mu$ = 1430 at a level of significance of α = 0.01 and are given sample statistics $\mathrm { n } = 35 , \overline { \mathrm { x } } = 1400$ Assume the population standard deviation is 82. Compute the value of the standardized test statistic. Round your answer to two decimal places.
A)-2.16
B)-3.82
C)-4.67
D)-5.18

Question

Quizplus · Accepted Answer

The standardized test statistic (z) 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: $z = \frac{{1400 - 1430}}{{82 / \sqrt{35}}}$ = -2.16 (rounded to two decimal places).

You Wish to Test the Claim That μ\muμ = 1430 at a Level of Significance of α =

You Wish to Test the Claim That $\mu$ = 1430 at a Level of Significance of α =