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A Sociologist Wants to Determine If the Life Expectancy of People

question 11

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A sociologist wants to determine if the life expectancy of people in Africa is less than the expectancy of people in Asia. The data obtained is shown in the table below.
 Africa  Asia X1=63.3yr.Xˉ2=65.2yr.σ1=9.1yr.σ2=7.3yr.n1=120n2=150\begin{array}{ll}\hline \text { Africa } & \text { Asia } \\\hline \overline{X_{1}}=63.3 \mathrm{yr} . & \bar{X}_{2}=65.2 \mathrm{yr} . \\\sigma_{1}=9.1 \mathrm{yr} . & \sigma_{2}=7.3 \mathrm{yr} . \\n_{1}=120 & n_{2}=150 \\\hline\end{array}

Calculate the critical value. Use α=0.05\alpha = 0.05 .


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