If the null hypothesis is H₀ : μ = 100,and you know that
= 105 and
= σ /
= 2.5,then the test statistic value is Z = 2.

Question

If the null hypothesis is H₀ : μ = 100,and you know that = 105 and = σ / = 2.5,then the test statistic value is Z = 2.

Quizplus · Accepted Answer

To calculate the test statistic value, we use the formula:
Z = (x̄ - μ) / (σ / √n)
where x̄ is the sample mean, μ is the population mean (null hypothesis), σ is the population standard deviation, and n is the sample size.

In this case, we are given that μ = 100, x̄ = 105, σ = 2.5, and we assume a sample size of n = 1 (not explicitly given). Plugging these values into the formula, we get:
Z = (105 - 100) / (2.5 / √1) = 2

Since the calculated test statistic value matches the given value of Z = 2, the answer is true.

If the Null Hypothesis Is H0 : μ = 100,and

If the Null Hypothesis Is H₀ : μ = 100,and