In testing the hypotheses H₀: $\mu$=50 vs. H₁: F$\mu$ $\neq$ 50, the following information is known: n = 64, $\sigma$ = 53.5, and $\sigma$= 10. The standardized test statistic z equals: A) 1.96 B) -2.80 C) 2.80 D) -1.96

Question

Quizplus · Accepted Answer

We can calculate the standardized test statistic using the formula Z = (F1F1F1S1 - F1F1F10) / (F1F1F1S1/√n), where F1F1F1S1 is the sample mean, F1F1F10 is the null hypothesis value, and F1F1F1S1 is the sample standard deviation. Plugging in the given values, we get:
Z = (53.5 - 50) / (10/√64)
Z = 2.80
Therefore, the standardized test statistic z is 2.80, which corresponds to choice C.

In Testing the Hypotheses H0 μ\muμ =50 Vs H1: F μ\muμ ≠\neq=

In Testing the Hypotheses H₀ $\mu$ =50 Vs H₁: F $\mu$ $\neq$