Sketch standard normal curve and shade the area that lies to the left of a. 2.23, b. - 1.55, c. 0, and d. -4. Then determine the area under the standard normal curve that lies in the area of interest for e part. Click bere to view distribution table

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**Transcription and Explanation of Standard Normal Curve Question**

The task is to sketch a standard normal curve and shade the area that lies to the left of specific z-values: a. 2.23, b. -1.55, c. 0, and d. -4. The goal is to determine the area under the standard normal curve for each specified part.

**Instructions:**

- Click the provided links to view pages 1 and 2 of the normal distribution table if necessary.

**Part a:**

- **Objective:** Sketch a standard normal curve and shade the area under the curve that lies to the left of z = 2.23.

- **Selection Prompt:** Choose the correct graph from the options provided below.

**Graph Options:**

- **A:** The curve shows no shaded area to the left of z = 2.23.
- **B:** The curve shows a shaded area starting from the left of the graph up to z = 2.23.
- **C:** Similar to A, with no shaded area.
- **D:** Shows shading starting at z = -2.23 going towards the left.

- **Note:** Option B correctly displays the area to the left of z = 2.23 shaded.

**Calculation Prompt:**

- **Task:** Calculate and fill in the area to the left of z = 2.23 in the provided box, rounding to four decimal places.

- **Input Box:** [___]

This structured explanation guides users through identifying the correct graph and calculating the area of interest for the given z-value.
Transcribed Image Text:**Transcription and Explanation of Standard Normal Curve Question** The task is to sketch a standard normal curve and shade the area that lies to the left of specific z-values: a. 2.23, b. -1.55, c. 0, and d. -4. The goal is to determine the area under the standard normal curve for each specified part. **Instructions:** - Click the provided links to view pages 1 and 2 of the normal distribution table if necessary. **Part a:** - **Objective:** Sketch a standard normal curve and shade the area under the curve that lies to the left of z = 2.23. - **Selection Prompt:** Choose the correct graph from the options provided below. **Graph Options:** - **A:** The curve shows no shaded area to the left of z = 2.23. - **B:** The curve shows a shaded area starting from the left of the graph up to z = 2.23. - **C:** Similar to A, with no shaded area. - **D:** Shows shading starting at z = -2.23 going towards the left. - **Note:** Option B correctly displays the area to the left of z = 2.23 shaded. **Calculation Prompt:** - **Task:** Calculate and fill in the area to the left of z = 2.23 in the provided box, rounding to four decimal places. - **Input Box:** [___] This structured explanation guides users through identifying the correct graph and calculating the area of interest for the given z-value.
**Transcription and Explanation for Educational Website:**

**b. Z<sub>0.017</sub>**

First sketch the graph that shows Z<sub>0.017</sub>. Choose the correct graph below.

1. **A.**
   - A normal distribution curve is shown with a blue line.
   - A vertical arrow points to the left tail area under the curve, labeled "0.017."
   - The axis is marked with Z<sub>0.017</sub> on the left side of 0.

2. **B.**
   - A normal distribution curve is depicted with a blue line.
   - A vertical arrow points to the right tail area under the curve, labeled "0.017."
   - The axis is marked with Z<sub>0.017</sub> on the right side of 0.

3. **C.**
   - A normal distribution curve is shown with the left tail area shaded in blue.
   - The shaded area is labeled "0.017."
   - The axis is marked with Z<sub>0.017</sub> on the left side of 0.

4. **D.**
   - The correct graph is chosen.
   - A normal distribution curve is shown, with the right tail area shaded in blue.
   - The shaded area is labeled "0.017."
   - The axis is marked with Z<sub>0.017</sub> on the right side of 0.

Now determine Z<sub>0.017</sub>.

Z<sub>0.017</sub> = 0.98 (Round to two decimal places as needed.)
Transcribed Image Text:**Transcription and Explanation for Educational Website:** **b. Z<sub>0.017</sub>** First sketch the graph that shows Z<sub>0.017</sub>. Choose the correct graph below. 1. **A.** - A normal distribution curve is shown with a blue line. - A vertical arrow points to the left tail area under the curve, labeled "0.017." - The axis is marked with Z<sub>0.017</sub> on the left side of 0. 2. **B.** - A normal distribution curve is depicted with a blue line. - A vertical arrow points to the right tail area under the curve, labeled "0.017." - The axis is marked with Z<sub>0.017</sub> on the right side of 0. 3. **C.** - A normal distribution curve is shown with the left tail area shaded in blue. - The shaded area is labeled "0.017." - The axis is marked with Z<sub>0.017</sub> on the left side of 0. 4. **D.** - The correct graph is chosen. - A normal distribution curve is shown, with the right tail area shaded in blue. - The shaded area is labeled "0.017." - The axis is marked with Z<sub>0.017</sub> on the right side of 0. Now determine Z<sub>0.017</sub>. Z<sub>0.017</sub> = 0.98 (Round to two decimal places as needed.)
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