Determine the area under the standard normal curve that lies to the right of (a) Z= - 0.27, (b) Z = - 0.68, (c) Z=0.11, and (d) Z= - 1.16. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) Standard normal distribution able (page 2) (a) The area to the right of Z= -0.27 is (Round to four decimal places as needed.) Apa Standard Nonnal Distribution 0.03 0.01 0.02 0.04 0.05 0.06 0.07 0.08 0.09 0,00 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 05120 05517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 05199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0.6879 0.0 0.1 02 03 04 0.5000 0.5398 0.5793 0.6179 0.6554 0.6255 0.6628 0.6406 0.6772 0.6480 0.6844 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7067 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0,7123 0.7454 0.7764 0,8051 08315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 07549 0.7852 0.5 0.6015 0.7257 0.7580 0.7881 08159 0.6 0.7 0.7910 08186 0.7939 0.8212 O8133 08389 0.9 08438 0.8665 0.8869 0.9049 0.9207 0.8485 0.8708 0.8007 0.8508 0.8729 0.8925 0.9099 0.9251 a8554 a8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 08830 0.9015 0.8413 0.8643 0.8849 0.9032 0.9192 0.8531 08749 0.8944 1.0 1.1 1.2 0.8461 0.8686 0.8888 0.9082 0.9236 0.9115 0.9265 0.9147 0.9292 09177 0.9319 1.3 0.9066 1.4 0.9222 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 09463 0.9564 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.0484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 09750 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 0.9619 0.9719 0.9671 0.9738 0.9693 0.9756 1.8 1.9 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0,9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9817 0.9857 0.9890

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**Title: Calculating Areas Under the Standard Normal Curve**

To determine the area under the standard normal curve that lies to the right of a given Z-score, you can use the standard normal distribution table.

### Problem Statement

Find the area to the right of the following Z-scores:
- (a) Z = -0.27
- (b) Z = -0.68
- (c) Z = 0.11
- (d) Z = -1.16

### Instructions

1. **Click the Links**: Use the links provided to view the standard normal distribution table (page 1 and page 2).

2. **Locate the Z-Score**: Use the standard normal distribution table to find the corresponding area for each Z-score.

3. **Determine the Area to the Right**: Subtract the table value from 1 to find the area to the right of the specified Z-score.

4. **Round Appropriately**: Round your final answers to four decimal places as needed.

### Example Calculation

For Z = -0.27:
- Locate -0.2 in the Z-column and 0.07 in the top row.
- Cross-reference to find the table value.
- Subtract this value from 1 to get the area to the right.

### Graphical Representation

The image includes a bell-shaped graph representing the standard normal distribution curve with a shaded area indicating the section to the right of a specific Z-score. This visual helps illustrate the portion of the distribution you are finding.

### Standard Normal Distribution Table (Excerpt)

Below is a brief guide on how to interpret the table:

- Rows represent Z-scores to one decimal place.
- Columns represent the second decimal place of Z-scores.
- Values inside the table indicate the cumulative probability from the left.

By using this method, you can easily find areas under the curve to the right of any Z-score, which is essential for statistical analysis and hypothesis testing.
Transcribed Image Text:**Title: Calculating Areas Under the Standard Normal Curve** To determine the area under the standard normal curve that lies to the right of a given Z-score, you can use the standard normal distribution table. ### Problem Statement Find the area to the right of the following Z-scores: - (a) Z = -0.27 - (b) Z = -0.68 - (c) Z = 0.11 - (d) Z = -1.16 ### Instructions 1. **Click the Links**: Use the links provided to view the standard normal distribution table (page 1 and page 2). 2. **Locate the Z-Score**: Use the standard normal distribution table to find the corresponding area for each Z-score. 3. **Determine the Area to the Right**: Subtract the table value from 1 to find the area to the right of the specified Z-score. 4. **Round Appropriately**: Round your final answers to four decimal places as needed. ### Example Calculation For Z = -0.27: - Locate -0.2 in the Z-column and 0.07 in the top row. - Cross-reference to find the table value. - Subtract this value from 1 to get the area to the right. ### Graphical Representation The image includes a bell-shaped graph representing the standard normal distribution curve with a shaded area indicating the section to the right of a specific Z-score. This visual helps illustrate the portion of the distribution you are finding. ### Standard Normal Distribution Table (Excerpt) Below is a brief guide on how to interpret the table: - Rows represent Z-scores to one decimal place. - Columns represent the second decimal place of Z-scores. - Values inside the table indicate the cumulative probability from the left. By using this method, you can easily find areas under the curve to the right of any Z-score, which is essential for statistical analysis and hypothesis testing.
**Instruction:**

Determine the area under the standard normal curve that lies to the right of:
(a) \( Z = -0.27 \), 
(b) \( Z = -0.68 \), 
(c) \( Z = 0.11 \), and 
(d) \( Z = -1.16 \).

**Resources:**

- Click here to view the standard normal distribution table (page 1).
- Click here to view the standard normal distribution table (page 2).

**Example Task:**

(a) The area to the right of \( Z = -0.27 \) is [______]. 
(Round to four decimal places as needed.)

**Diagram:**

A standard normal distribution graph shows a bell curve with a shaded region representing the area to the right of a given \( Z \)-score. This area under the curve is the probability of a score being greater than the given \( Z \)-score.

**Standard Normal Distribution Table (Page 1):**

- The table lists \( Z \)-scores ranging from -3.4 to -1.4 in increments of 0.1 vertically.
- For each \( Z \)-score, probabilities are listed horizontally for decimal values from 0.00 to 0.09.
- For example, the probability corresponding to \( Z = -1.5 \) and \( 0.03 \) is 0.0668.

**Options:**

- Help me solve this
- View an example
- Get more help

\[ \text{[Print] [Done]} \]
Transcribed Image Text:**Instruction:** Determine the area under the standard normal curve that lies to the right of: (a) \( Z = -0.27 \), (b) \( Z = -0.68 \), (c) \( Z = 0.11 \), and (d) \( Z = -1.16 \). **Resources:** - Click here to view the standard normal distribution table (page 1). - Click here to view the standard normal distribution table (page 2). **Example Task:** (a) The area to the right of \( Z = -0.27 \) is [______]. (Round to four decimal places as needed.) **Diagram:** A standard normal distribution graph shows a bell curve with a shaded region representing the area to the right of a given \( Z \)-score. This area under the curve is the probability of a score being greater than the given \( Z \)-score. **Standard Normal Distribution Table (Page 1):** - The table lists \( Z \)-scores ranging from -3.4 to -1.4 in increments of 0.1 vertically. - For each \( Z \)-score, probabilities are listed horizontally for decimal values from 0.00 to 0.09. - For example, the probability corresponding to \( Z = -1.5 \) and \( 0.03 \) is 0.0668. **Options:** - Help me solve this - View an example - Get more help \[ \text{[Print] [Done]} \]
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