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Test the Claim That μ1=μ2\mu _ { 1 } = \mu _ { 2 }

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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 {. } Use α\alpha = 0.05. n1=14n2=12x1=12x2=13 s1=2.5 s2=2.8\begin{array} { l l } \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 12 \\\overline { \mathrm { x } }_ 1 = 12 & \overline { \mathrm { x } }_ 2 = 13 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}

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The open, sunlit surface layer away from the shore of a freshwater body, where photosynthesis can occur, supporting a wide range of plankton and fish species.

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