90% Cl is from 15 to 20 Choose the correct answer below. O A. It can be said, with 90% confidence, that the value of l, is somewhere between 15 and 20 greater than the value of lɔ. Note that this means the difference between the two mea greater than zero. O B. It can be said, with 90% confidence, that there is no significant difference between the value of u, and the value of u. Note that this means the difference between the two mear zero. O c. The true value of u, - H, lies somewhere between 15 and 20. Note that this means the difference between the two means is greater than zero. O D. It can be said, with 90% confidence, that the value of l, is somewhere between 15 and 20 less than the value of uɔ. Note that this means the difference between the two means than zero.

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### Confidence Interval Interpretation for Difference Between Two Population Means

Shown below is the confidence interval (CI) for the difference, μ₁ - μ₂, between two population means. Interpret the confidence interval.

**90% CI is from 15 to 20**

Choose the correct answer below:

- **A.** It can be said, with 90% confidence, that the value of μ₁ is somewhere between 15 and 20 greater than the value of μ₂. Note that this means the difference between the two means is greater than zero.

- **B.** It can be said, with 90% confidence, that there is no significant difference between the value of μ₁ and the value of μ₂. Note that this means the difference between the two means may be zero.

- **C.** The true value of μ₁ - μ₂ lies somewhere between 15 and 20. Note that this means the difference between the two means is greater than zero.

- **D.** It can be said, with 90% confidence, that the value of μ₁ is somewhere between 15 and 20 less than the value of μ₂. Note that this means the difference between the two means is less than zero.

**Explanation:**
The provided confidence interval of 15 to 20 suggests that we can be 90% confident that the difference between the two population means (μ₁ - μ₂) falls within this range. This interval does not include zero, which means there is a significant difference between the two means and specifically, μ₁ is greater than μ₂. The correct answer is **A.**
Transcribed Image Text:### Confidence Interval Interpretation for Difference Between Two Population Means Shown below is the confidence interval (CI) for the difference, μ₁ - μ₂, between two population means. Interpret the confidence interval. **90% CI is from 15 to 20** Choose the correct answer below: - **A.** It can be said, with 90% confidence, that the value of μ₁ is somewhere between 15 and 20 greater than the value of μ₂. Note that this means the difference between the two means is greater than zero. - **B.** It can be said, with 90% confidence, that there is no significant difference between the value of μ₁ and the value of μ₂. Note that this means the difference between the two means may be zero. - **C.** The true value of μ₁ - μ₂ lies somewhere between 15 and 20. Note that this means the difference between the two means is greater than zero. - **D.** It can be said, with 90% confidence, that the value of μ₁ is somewhere between 15 and 20 less than the value of μ₂. Note that this means the difference between the two means is less than zero. **Explanation:** The provided confidence interval of 15 to 20 suggests that we can be 90% confident that the difference between the two population means (μ₁ - μ₂) falls within this range. This interval does not include zero, which means there is a significant difference between the two means and specifically, μ₁ is greater than μ₂. The correct answer is **A.**
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