Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n₁ = n₂ = 70, X₁ = 125.3, X₂ = 123.8, s₁ = 5.9, s₂ = 6.1 Construct a 95% confidence interval for the difference in the population means (₁-₂). (Round your answers to two decimal places.) to Find a point estimate for the difference in the population means. Calculate the margin of error. (Round your answer to two decimal places.)

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**Statistical Analysis of Two Populations**

**Sample Details:**
Independent random samples were selected from two quantitative populations. Below are the details for the sample sizes, means, and standard deviations:

- \( n_1 = n_2 = 70 \)
- \( \bar{x}_1 = 125.3 \)
- \( \bar{x}_2 = 123.8 \)
- \( s_1 = 5.9 \)
- \( s_2 = 6.1 \)

**Tasks:**

1. **Construct a 95% Confidence Interval** for the difference in the population means \((\mu_1 - \mu_2)\). (Round your answers to two decimal places.)

   - [   ] to [   ]

2. **Find a Point Estimate** for the difference in the population means.

   - [   ]

3. **Calculate the Margin of Error.** (Round your answer to two decimal places.)

   - [   ]
Transcribed Image Text:**Statistical Analysis of Two Populations** **Sample Details:** Independent random samples were selected from two quantitative populations. Below are the details for the sample sizes, means, and standard deviations: - \( n_1 = n_2 = 70 \) - \( \bar{x}_1 = 125.3 \) - \( \bar{x}_2 = 123.8 \) - \( s_1 = 5.9 \) - \( s_2 = 6.1 \) **Tasks:** 1. **Construct a 95% Confidence Interval** for the difference in the population means \((\mu_1 - \mu_2)\). (Round your answers to two decimal places.) - [ ] to [ ] 2. **Find a Point Estimate** for the difference in the population means. - [ ] 3. **Calculate the Margin of Error.** (Round your answer to two decimal places.) - [ ]
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