You wish to test the claim that $\mu 33$ at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 50, $\overline { \mathrm { x } } = 33.3$ Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.
A)1.77
B)2.31
C)0.98
D)3.11

Question

You wish to test the claim that $\mu > 33$ at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 50, $\overline { \mathrm { x } } = 33.3$ Assume the population standard deviation is 1.2. Compute the value of the standardized 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 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: $z = \frac{33.3 - 33}{(1.2 / \sqrt{50})} = 1.77$.

You Wish to Test the Claim That μ>33\mu > 33μ>33 At a Level of Significance of α

You Wish to Test the Claim That $\mu > 33$ At a Level of Significance of α