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Suppose You Want to Test the Claim That μ1<μ2\mu _ { 1 } < \mu _ { 2 }

question 109

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Suppose you want to test the claim that μ1<μ2\mu _ { 1 } < \mu _ { 2 } Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ12=σ22\sigma _ { 1 } ^ { 2 } = \sigma _{ 2 } ^{ 2 } \text {. } At a
Level of significance of α α=0.10\alpha = 0.10 \text {, } when should you reject H₀? n1=15n2=15x1=27.37x2=29.92 s1=2.9 s2=2.8\begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } }_ 1 = 27.37 & \overline { \mathrm { x } }_ 2 = 29.92 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s}_ 2 = 2.8\end{array}

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