Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 41.3, 44.1, 32.2, 33.8, 38.8 D List the z scores for the normal quantile plot. (Round to two decimal places as needed. Use ascending order.)

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### Creating a Normal Quantile Plot Using Z Scores

Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot. Then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot and determine whether the data appear to be from a population with a normal distribution.

**Data Values:**
- 41.3
- 44.1
- 32.2
- 33.8
- 38.8

**Task:**
List the z scores for the normal quantile plot.

**Input Boxes:**
- [     ]
- [     ]
- [     ]
- [     ]
- [     ]

*(Round to two decimal places as needed. Use ascending order.)*

### Instructions:

1. **Identify the Corresponding Z Scores:**
   - Use statistical tables or software to determine the z scores corresponding to the given data values for female arm circumferences.
  
2. **Plot the Points:**
   - Once you have the z scores, plot the corresponding points in a normal quantile plot.

3. **Determine Normality:**
   - Based on the plotted points, assess if the data follow a straight line pattern, which would indicate that they come from a population with a normal distribution.

### Example:

To illustrate, let's assume we have calculated the z scores for the given data values. If the data values are approximately linear in the plot, they likely follow a normal distribution.
Transcribed Image Text:### Creating a Normal Quantile Plot Using Z Scores Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot. Then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot and determine whether the data appear to be from a population with a normal distribution. **Data Values:** - 41.3 - 44.1 - 32.2 - 33.8 - 38.8 **Task:** List the z scores for the normal quantile plot. **Input Boxes:** - [ ] - [ ] - [ ] - [ ] - [ ] *(Round to two decimal places as needed. Use ascending order.)* ### Instructions: 1. **Identify the Corresponding Z Scores:** - Use statistical tables or software to determine the z scores corresponding to the given data values for female arm circumferences. 2. **Plot the Points:** - Once you have the z scores, plot the corresponding points in a normal quantile plot. 3. **Determine Normality:** - Based on the plotted points, assess if the data follow a straight line pattern, which would indicate that they come from a population with a normal distribution. ### Example: To illustrate, let's assume we have calculated the z scores for the given data values. If the data values are approximately linear in the plot, they likely follow a normal distribution.
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