### Estimating the Difference in Population MeansTwo samples are taken with the following sample means, sizes, and standard deviations:- Sample 1: - Mean ($\bar{x}_1$): 28 - Size ($n_1$): 67 - Standard Deviation ($s_1$): 3- Sample 2: - Mean ($\bar{x}_2$): 22 - Size ($n_2$): 69 - Standard Deviation ($s_2$): 4You are required to estimate the difference in population means using an 89% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth.The confidence interval for the difference in population means ($\mu_1 - \mu_2$) is given by:\[\left( \text{[lower bound]} \right) < \mu_1 - \mu_2 < \left( \text{[upper bound]} \right)\]Enter your calculated values for the lower bound and upper bound in the boxes provided.

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Two samples are taken with the following sample means, sizes, and standard deviations T1 = 28 ã2 = 22 nį = 67 n2 = 69 s1 = 3 s2 = 4 Estimate the difference in population means using a 89% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth. < li - 12

Two samples are taken with the following sample means, sizes, and standard deviations T1 = 28 ã2 = 22 nį = 67 n2 = 69 s1 = 3 s2 = 4 Estimate the difference in population means using a 89% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth. < li - 12

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### Estimating the Difference in Population Means

Two samples are taken with the following sample means, sizes, and standard deviations:

- Sample 1:
- Mean ($\bar{x}_1$): 28
- Size ($n_1$): 67
- Standard Deviation ($s_1$): 3

- Sample 2:
- Mean ($\bar{x}_2$): 22
- Size ($n_2$): 69
- Standard Deviation ($s_2$): 4

You are required to estimate the difference in population means using an 89% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth.

The confidence interval for the difference in population means ($\mu_1 - \mu_2$) is given by:

\[
\left( \text{[lower bound]} \right) < \mu_1 - \mu_2 < \left( \text{[upper bound]} \right)
\]

Enter your calculated values for the lower bound and upper bound in the boxes provided.

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