You wish to test the claim that $\mu \leq 24$ at a level of significance of α = 0.01 and are given sample statistics n = 40, $\bar { x } = 25.8 \text {. }$ Assume the population standard deviation is 4.3. Compute the value of the standardized 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 standardized test statistic (z) is calculated using the formula $z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}}$, where $\bar{x}$ 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: $z = \frac{25.8 - 24}{4.3/\sqrt{40}} \approx 2.65$.

You Wish to Test the Claim That μ≤24\mu \leq 24μ≤24 At a Level of Significance of α = 0

You Wish to Test the Claim That $\mu \leq 24$ At a Level of Significance of α = 0