Use the t-distribution to finad a confidence interval for a differ in means ui - l2 given the relevant sample results. Give the best estimate for u - µ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 95% confidence interval foru, - µz using the sample results 1 $2 = 93, n2 518, s1 = 118, n1 360 and I2 = 469, %3D 200 %3D Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = i Margin of error = i Confidence interval : i to i

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**Title: Calculating a Confidence Interval for Differences in Means**

Use the t-distribution to find a confidence interval for a difference in means \( \mu_1 - \mu_2 \) given the relevant sample results. Give the best estimate for \( \mu_1 - \mu_2 \), the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.

A 95% confidence interval for \( \mu_1 - \mu_2 \) using the sample results:

\( \bar{x}_1 = 518, \, s_1 = 118, \, n_1 = 360 \)  
\( \bar{x}_2 = 469, \, s_2 = 93, \, n_2 = 200 \)

Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.

- **Best estimate =** [Input Box]
- **Margin of error =** [Input Box]
- **Confidence interval:** [Input Box] to [Input Box]
Transcribed Image Text:**Title: Calculating a Confidence Interval for Differences in Means** Use the t-distribution to find a confidence interval for a difference in means \( \mu_1 - \mu_2 \) given the relevant sample results. Give the best estimate for \( \mu_1 - \mu_2 \), the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 95% confidence interval for \( \mu_1 - \mu_2 \) using the sample results: \( \bar{x}_1 = 518, \, s_1 = 118, \, n_1 = 360 \) \( \bar{x}_2 = 469, \, s_2 = 93, \, n_2 = 200 \) Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places. - **Best estimate =** [Input Box] - **Margin of error =** [Input Box] - **Confidence interval:** [Input Box] to [Input Box]
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