In testing the hypotheses H₀: $\mu$= 50 vs. H₁: $\mu$$\neq$ 50, the following information is known: n = 64, $\bar { x }$ = 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

The standardized test statistic z is calculated using the formula $ z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} $. Substituting the given values: $ z = \frac{53.5 - 50}{10/\sqrt{64}} = \frac{3.5}{1.25} = 2.80 $.

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

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