Assume the two samples are random and independent at a

Question

Suppose you want to test the claim that μ₁ < μ₂. Assume the two samples are random and independent. At a level of significance of α = 0.05, when should you reject H₀?

Population statistics: σ₁ = 2.9 and σ₂ = 2.8

Sample statistics: ₁ = 28.85, n₁ = 35 and ₂ = 31.4, n₂ = 42

A. Reject H₀ if the standardized test statistic is less than -1.96.

B. Reject H₀ if the standardized test statistic is less than -1.645.

C. Reject H₀ if the standardized test statistic is less than -2.33

D. Reject H₀ if the standardized test statistic is less than -2.575.