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

We can calculate the standardized test statistic using the formula:

z = (x̄ - μ) / (σ / √n)

where x̄ is the sample mean, μ is the hypothesized population mean under the null hypothesis, σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

z = (53.5 - 50) / (10 / √64) = 2.80

Therefore, the standardized test statistic z is 2.80, which corresponds to choice (C).

In Testing the Hypotheses H0 μ\muμ = 50 VsH1 μ\muμ ≠\neq= 50,the Following Information Is Known: N = 64

In Testing the Hypotheses H₀ $\mu$ = 50 VsH₁ $\mu$ $\neq$ 50,the Following Information Is Known: N = 64