Sketch a standard normal curve and shade the area that lies to the left of a. 2.19, b. - 1.63, c. 0, and d. 5. Then determine the area under the standard normal curve tha the area of interest for each part. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. ... a. Sketch a standard normal curve and shade the area under the curve that lies to the left of 2.19. Choose the correct graph below. O D. O B. O C. OA. Q Q Q 2.19 -2.19 0 Q 4 ► 2.19 ROO A 0 2.19

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### Understanding the Standard Normal Curve

In this section, you will learn how to sketch and interpret the standard normal distribution curve, particularly focusing on shading the area to the left of a given Z-score. This is a fundamental concept in statistics, crucial for understanding probabilities and data distribution.

#### Instructions and Graph Explanation

The problem requires sketching a standard normal curve and shading the area under this curve for various Z-scores. The Z-score represents the number of standard deviations a data point is from the mean. Below are step-by-step tasks and visual aids to help you understand the process.

**Tasks:**

1. **Sketch a Standard Normal Curve:**
   - Begin by drawing a bell-shaped curve centered at zero (the mean of the distribution).
   - The horizontal axis represents Z-scores.

2. **Shading the Area for Different Z-scores:**
   - Shade the area under the curve to the left of the specific Z-scores provided in each part (a, b, c, d).

3. **Z-scores given:**
   - Part a: Z = 2.19
   - Part b: Z = 1.63
   - Part c: Z = 0
   - Part d: Z = -1.57

Below are the visual aids depicting the shaded areas for each part:

**Figure A:**
- This graph displays a standard normal distribution curve with the area to the left of Z = 2.19 shaded.
  
**Figure B:**
- This graph displays a standard normal distribution curve with the area to the left of Z = 1.63 shaded.

**Figure C:**
- This graph displays a standard normal distribution curve with the area to the left of Z = 0 shaded. This would include 50% of the area under the curve since Z = 0 is the mean.

**Figure D:**
- This graph displays a standard normal distribution curve with the area to the left of Z = -1.57 shaded.

**Selecting the Correct Graph:**
- You are required to choose the correct graph among the options provided (A, B, C, D) for each Z-score in the tasks. Observing how much of the curve is shaded will help you identify the correct representation.

For additional study, reference the provided links to the Normal Distribution Table to understand the probabilities associated with each Z-score.

**Navigation Tips:**
- You can access options to help you solve the
Transcribed Image Text:### Understanding the Standard Normal Curve In this section, you will learn how to sketch and interpret the standard normal distribution curve, particularly focusing on shading the area to the left of a given Z-score. This is a fundamental concept in statistics, crucial for understanding probabilities and data distribution. #### Instructions and Graph Explanation The problem requires sketching a standard normal curve and shading the area under this curve for various Z-scores. The Z-score represents the number of standard deviations a data point is from the mean. Below are step-by-step tasks and visual aids to help you understand the process. **Tasks:** 1. **Sketch a Standard Normal Curve:** - Begin by drawing a bell-shaped curve centered at zero (the mean of the distribution). - The horizontal axis represents Z-scores. 2. **Shading the Area for Different Z-scores:** - Shade the area under the curve to the left of the specific Z-scores provided in each part (a, b, c, d). 3. **Z-scores given:** - Part a: Z = 2.19 - Part b: Z = 1.63 - Part c: Z = 0 - Part d: Z = -1.57 Below are the visual aids depicting the shaded areas for each part: **Figure A:** - This graph displays a standard normal distribution curve with the area to the left of Z = 2.19 shaded. **Figure B:** - This graph displays a standard normal distribution curve with the area to the left of Z = 1.63 shaded. **Figure C:** - This graph displays a standard normal distribution curve with the area to the left of Z = 0 shaded. This would include 50% of the area under the curve since Z = 0 is the mean. **Figure D:** - This graph displays a standard normal distribution curve with the area to the left of Z = -1.57 shaded. **Selecting the Correct Graph:** - You are required to choose the correct graph among the options provided (A, B, C, D) for each Z-score in the tasks. Observing how much of the curve is shaded will help you identify the correct representation. For additional study, reference the provided links to the Normal Distribution Table to understand the probabilities associated with each Z-score. **Navigation Tips:** - You can access options to help you solve the
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