se 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 th ormal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 33.6, 44.0, 40.6 , 38.9, 33.0

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**Exercise: Normal Quantile Plot Analysis**

Given the data values (a sample of female arm circumferences in centimeters), your tasks are:

1. **Identify the corresponding z-scores** for use in a normal quantile plot.
2. **Identify the coordinates of each point** for the normal quantile plot. Use ordered pairs in the form (x,y), where x is the sorted arm circumferences (ascending), and y is the corresponding z-score.
3. **Construct the normal quantile plot.**
4. **Determine whether the data appear to come from a population with a normal distribution.**

**Data Set:**  
33.6, 44.0, 40.6, 38.9, 33.0

**Tasks:**

1. **List the Z-scores**  
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \]  

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

2. **Identify Coordinates**  
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \] 
   - \[ \_\_\_ \]  

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

**Graphs:**

- **Option A** shows a normal quantile plot with points closely following a straight line.
- **Option B** shows a plot where points do not follow a straight line.
- **Option C** shows a plot where some points deviate from the line.
- **Option D** resembles a pattern close to a straight line but not perfect.

**Question:**  
Does the data come from a normally distributed population?

- **A.** Yes. The pattern of the points is reasonably close to a straight line.
- **B.** No. The points do not lie close to a straight line.
- **C.** No. The points exhibit some systematic pattern that is not a straight-line pattern.

Click to select your answer(s).
Transcribed Image Text:**Exercise: Normal Quantile Plot Analysis** Given the data values (a sample of female arm circumferences in centimeters), your tasks are: 1. **Identify the corresponding z-scores** for use in a normal quantile plot. 2. **Identify the coordinates of each point** for the normal quantile plot. Use ordered pairs in the form (x,y), where x is the sorted arm circumferences (ascending), and y is the corresponding z-score. 3. **Construct the normal quantile plot.** 4. **Determine whether the data appear to come from a population with a normal distribution.** **Data Set:** 33.6, 44.0, 40.6, 38.9, 33.0 **Tasks:** 1. **List the Z-scores** - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] *(Round to two decimal places as needed. Use ascending order.)* 2. **Identify Coordinates** - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] - \[ \_\_\_ \] *(Round to two decimal places as needed. Use ascending order.)* **Graphs:** - **Option A** shows a normal quantile plot with points closely following a straight line. - **Option B** shows a plot where points do not follow a straight line. - **Option C** shows a plot where some points deviate from the line. - **Option D** resembles a pattern close to a straight line but not perfect. **Question:** Does the data come from a normally distributed population? - **A.** Yes. The pattern of the points is reasonably close to a straight line. - **B.** No. The points do not lie close to a straight line. - **C.** No. The points exhibit some systematic pattern that is not a straight-line pattern. Click to select your answer(s).
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