Consider testing the hypotheses H₀: $\mu$ = 50 vs.H₁: $\mu \neq$ 50. If n = 64, $\bar { x }$ = 53.5,and $\text { ? }$ = 10,then the value of the test statistic is: A) z = 1.96. B) t = 1.64. C) z = 2.80. D) t = 1.96. E) z = 1.64

Question

Quizplus · Accepted Answer

Since the population standard deviation is known, we use a z-test. The test statistic is calculated as:
z = (sample mean - hypothesized mean) / (standard deviation / square root of sample size)
z = (53.5 - 50) / (10 / sqrt(64))
z = 3.5 / 1.25
z = 2.80
Therefore, the answer is choice C.

Consider Testing the Hypotheses H0 μ\muμ = 50 VsH1 μ≠\mu \neqμ= 50 If N = 64

Consider Testing the Hypotheses H₀ $\mu$ = 50 VsH₁ $\mu \neq$ 50 If N = 64