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Means of two random samples of size 9 & 7 are 196.42 & 198.82 respectively. Sum of squares of deviation from means is 26.94 & 18.73. Can sample be considered to have been drawn from same population?
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n${}_{1}$=9 \& n${}_{2}$=7($\lt$30 , so it is small sample) $$\overline{x_1}=196.42\ ;\ \overline{x_2}=198.82\ ;\ \sum{{(x_{1i}-\overline{x_2})}^2=26.94\ ;\ {(x_{2i}-\overline{x_2})}^2=18.73}$$

Step 1 :-

Null Hypothesis (H${}_{0}$):$\mu$${}_{1}$=$\mu$${}_{2}$(i.e. Samples are drawn from the same population) Alternative Hypothesis (H${}_{\mathrm{\infty}}$)=$\mu$${}_{1}$$\mathrm{\neq}$$\mu$${}_{2}$(i.e. Samples are not drawn from the same population) (Two tailed test) Step 2 :- LOS=5% (Two tailed test) …

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