In testing the hypotheses: H₀: $\mu$1 - $\mu$2 = 0 H_A: $\mu$1 - $\mu$2 0, two random samples from two normal populations produced the following statistics: n₁ = 51, $\bar { X } _ { 1 }$ = 35, s1 = 28. n₂ = 40, $\bar { X } _ { 2 }$ = 28, s2 = 10. Assume that the two population variances are different. What conclusion can we draw at the 10% significance level?

Question

In testing the hypotheses: H₀: $\mu$1 - $\mu$2 = 0 H_A: $\mu$1 - $\mu$2 > 0, two random samples from two normal populations produced the following statistics: n₁ = 51, $\bar { X } _ { 1 }$ = 35, s1 = 28. n₂ = 40, $\bar { X } _ { 2 }$ = 28, s2 = 10. Assume that the two population variances are different. What conclusion can we draw at the 10% significance level?

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The Answer of In testing the hypotheses: H₀: $\mu$1 - $\mu$2 = 0 H_A: $\mu$1 - $\mu$2 > 0, two random samples from two normal populations produced the following statistics: n₁ = 51, $\bar { X } _ { 1 }$ = 35, s1 = 28. n₂ = 40, $\bar { X } _ { 2 }$ = 28, s2 = 10. Assume that the two population variances are different. What conclusion can we draw at the 10% significance level?

In Testing the Hypotheses: H0 μ\muμ 1 - μ\muμ 2 = 0 HA

In Testing the Hypotheses:
H₀ $\mu$ 1 - $\mu$ 2 = 0
H_A