Test the Following Hypotheses at the 5% Level of Significance $\mu$

question 62

Essay

Test the following hypotheses at the 5% level of significance:
H₀: µ $\mu$ ₁ - µ $\mu$ ₂ = 0
H_A: µ $\mu$ ₁ - µ $\mu$ ₂ < 0,
given the following statistics:
n₁ = 10, x₁ = 58.6, s₁ = 13.45.
n₂ = 10, x₂ = 64.6, s₂ = 11.15.
Estimate with 95% confidence the difference between the two population means.