Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = -2.26 and z = 1.32 is

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### Educational Resource: Finding Areas Under the Standard Normal Curve

#### Instructions

**Task:** 
Sketch the area under the standard normal curve over the indicated interval and find the specified area. 

**Steps to Follow:**
1. Identify the z-values that define the interval.
2. Sketch the standard normal curve, marking the identified z-values.
3. Calculate the area under the standard normal curve between these z-values.

#### Example Problem

**Problem Statement:**
The area between \( z = -2.26 \) and \( z = 1.32 \) is __________.

**Steps to Solve:**

1. **Identify the z-values:** 
   - The given z-values are \( z = -2.26 \) and \( z = 1.32 \).
   
2. **Sketch the Standard Normal Curve:**
   - Draw a bell-shaped curve representing the standard normal distribution.
   - Mark the points where \( z = -2.26 \) and \( z = 1.32 \) on the horizontal axis.
   - Shade the area between these two z-values.

3. **Calculate the Area:**
   - Use the standard normal distribution table (z-table) or a computational tool to find the area between the two z-values.
   - Round the final answer to four decimal places.

**Find the Area:**
- Look up the cumulative area to the left of \( z = -2.26 \) and \( z = 1.32 \) in the z-tables or use an online calculator.

Your final answer should be formatted as a four decimal place number and entered in the provided box.

---

This process helps in understanding how to determine areas under the standard normal curve, which is a common task in statistics and probability.
Transcribed Image Text:### Educational Resource: Finding Areas Under the Standard Normal Curve #### Instructions **Task:** Sketch the area under the standard normal curve over the indicated interval and find the specified area. **Steps to Follow:** 1. Identify the z-values that define the interval. 2. Sketch the standard normal curve, marking the identified z-values. 3. Calculate the area under the standard normal curve between these z-values. #### Example Problem **Problem Statement:** The area between \( z = -2.26 \) and \( z = 1.32 \) is __________. **Steps to Solve:** 1. **Identify the z-values:** - The given z-values are \( z = -2.26 \) and \( z = 1.32 \). 2. **Sketch the Standard Normal Curve:** - Draw a bell-shaped curve representing the standard normal distribution. - Mark the points where \( z = -2.26 \) and \( z = 1.32 \) on the horizontal axis. - Shade the area between these two z-values. 3. **Calculate the Area:** - Use the standard normal distribution table (z-table) or a computational tool to find the area between the two z-values. - Round the final answer to four decimal places. **Find the Area:** - Look up the cumulative area to the left of \( z = -2.26 \) and \( z = 1.32 \) in the z-tables or use an online calculator. Your final answer should be formatted as a four decimal place number and entered in the provided box. --- This process helps in understanding how to determine areas under the standard normal curve, which is a common task in statistics and probability.
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