fuction to Statistics Adilene Molina \( 02 / 02 / 2511: 3 \) s of Relative Standing Question 3, 3.3.9 HW score: \( 62.98 \%, 8.82 \) of 14 points Part 1 of 2 Points: 0 of 1 e the range rule of thumb to identify the values that are significantly low, the values that are significantly high, and the values that are neither significantly low nor significantly high. est is used to assess readiness for college. In a recent year, the mean test score was 21.5 and the standard deviation was 4.6 . Identify the test scores that are significantly low or significantly high at test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.

Sure, let's use the **range rule of thumb** to determine which test scores are significantly low or significantly high based on the given data. ### **Given:** - **Mean (μ):** 21.5 - **Standard Deviation (σ):** 4.6 ### **Range Rule of Thumb:** This rule states that: - **Significantly Low:** Scores **more than 2 standard deviations below** the mean. - **Significantly High:** Scores **more than 2 standard deviations above** the mean. - **Neither:** Scores within **2 standard deviations** of the mean. ### **Calculations:** 1. **Calculate 2 Standard Deviations:** \[ 2σ = 2 \times 4.6 = 9.2 \] 2. **Determine Thresholds:** - **Significantly Low Threshold:** \[ \text{Mean} - 2σ = 21.5 - 9.2 = 12.3 \] So, any score **below 12.3** is **significantly low**. - **Significantly High Threshold:** \[ \text{Mean} + 2σ = 21.5 + 9.2 = 30.7 \] So, any score **above 30.7** is **significantly high**. 3. **Interpretation:** - **Significantly Low Scores:** **< 12.3** - **Significantly High Scores:** **> 30.7** - **Neither Significantly Low nor High:** **12.3 ≤ score ≤ 30.7** ### **Summary:** - **Significantly Low:** Any test score **less than 12.3**. - **Significantly High:** Any test score **greater than 30.7**. - **Neither:** Any test score **between 12.3 and 30.7** (inclusive). ### **Answer:** - **Significantly low** test scores are **below 12.3**. - **Significantly high** test scores are **above 30.7**. - Test scores between **12.3 and 30.7** are **neither significantly low nor high**. If you need to fill in specific blanks or select from multiple-choice options, use **12.3** as the lower threshold and **30.7** as the upper threshold based on the range rule of thumb.