Question

For two independent normal populations we have the following information :
Sample means $\overline{X} =10$ $\overline{Y} =12$
Sample variances $S_{1}^{2}$=46 $S_{2}^{2}$ =50
Sample sizes $n_{1}$=15 $n_{2}$=15
To test $H_{0}: \mu_{1}= \mu_{2}$ against $H_{1}: \mu_{1}\neq \mu_{2}$, calculate the 95% confidence interval for $\mu_{1}- \mu_{2}$. Also give the conclusion. (Use $\alpha$= 5%).

Answer 1

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