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Timed Test Thistest has a time of 2 hours and 30 minutes. This test will save and submit automatically when the time expres.
Moving to another question will save this response. Question of estion 1 2.77777 points Construct the indicated confidence in
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Answer #1

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We know that the 98% confidence interval for difference between population means is given by:

[(\overline{x_{1}}-\overline{x_{2}})\pm t_{n_{1}+n_{2}-2}(0.02/2)\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}]

[(75.7-64.3)\pm t_{11+9-2}(0.02/2)\sqrt{\frac{4.5^{2}}{11}+\frac{5.1^{2}}{9}}]

[(75.7-64.3)\pm t_{18}(0.01)\sqrt{\frac{4.5^{2}}{11}+\frac{5.1^{2}}{9}}]

[(75.7-64.3)\pm (2.552)\sqrt{\frac{4.5^{2}}{11}+\frac{5.1^{2}}{9}}]

[11.4\pm 5.5508]

[5.85,16.95]

Hence 4th option.

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