MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Is it reasonable to treat the following as a sample from an approximately normal population? Explain.

 

 

**Part 3 of 4**

**(c) The following histogram illustrates a sample.**

- The histogram displays the relative frequency of different intervals of a dataset. 
- The intervals are on the x-axis, ranging from 0 to 16, in increments of 2. 
- The relative frequency is plotted on the y-axis, which measures values from 0.00 to 0.25.

**Histogram Details:**

- **0–2:** Relative frequency = 0.05
- **2–4:** Relative frequency = 0.05
- **4–6:** Relative frequency = 0.05
- **6–8:** Relative frequency = 0.05
- **8–10:** Relative frequency = 0.10
- **10–12:** Relative frequency = 0.20
- **12–14:** Relative frequency = 0.20
- **14–16:** Relative frequency = 0.10

Below the histogram, there is a dropdown menu with the options to choose the feature the plot reveals:

- Outlier(s)
- A large degree of skewness
- More than one distinct mode
- None of these features

**(d) The following stem-and-leaf plot illustrates a sample.**

- Stem-and-leaf plot details:
  - **0:** | (blank)
  - **1:** | 46
  - **2:** | 01378
  - **3:** | 169
  - **4:** | 35
  - **5:** | 3
  - **6:** | 1
  - **7:** | 34
  - **8:** | 4799
  - **9:** | 356689
  - **10:** | 123
  - **11:** | 8

Below the stem-and-leaf plot, there is a dropdown menu with the options to choose the feature the plot reveals:

- Outlier(s)
- A large degree of skewness
- More than one distinct mode
- None of these features

There is a second dropdown menu to choose whether we treat the sample as being from an approximately normal distribution.
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Transcribed Image Text:**Part 3 of 4** **(c) The following histogram illustrates a sample.** - The histogram displays the relative frequency of different intervals of a dataset. - The intervals are on the x-axis, ranging from 0 to 16, in increments of 2. - The relative frequency is plotted on the y-axis, which measures values from 0.00 to 0.25. **Histogram Details:** - **0–2:** Relative frequency = 0.05 - **2–4:** Relative frequency = 0.05 - **4–6:** Relative frequency = 0.05 - **6–8:** Relative frequency = 0.05 - **8–10:** Relative frequency = 0.10 - **10–12:** Relative frequency = 0.20 - **12–14:** Relative frequency = 0.20 - **14–16:** Relative frequency = 0.10 Below the histogram, there is a dropdown menu with the options to choose the feature the plot reveals: - Outlier(s) - A large degree of skewness - More than one distinct mode - None of these features **(d) The following stem-and-leaf plot illustrates a sample.** - Stem-and-leaf plot details: - **0:** | (blank) - **1:** | 46 - **2:** | 01378 - **3:** | 169 - **4:** | 35 - **5:** | 3 - **6:** | 1 - **7:** | 34 - **8:** | 4799 - **9:** | 356689 - **10:** | 123 - **11:** | 8 Below the stem-and-leaf plot, there is a dropdown menu with the options to choose the feature the plot reveals: - Outlier(s) - A large degree of skewness - More than one distinct mode - None of these features There is a second dropdown menu to choose whether we treat the sample as being from an approximately normal distribution.
**Part 1 of 4**

(a) The following dotplot illustrates a sample.

- **Dotplot Description:**
  - The dotplot shows individual data points along a horizontal axis ranging from 0 to 10.
  - The points are mostly clustered around the center of the range.

- **Analysis Dropdown Choices:**
  - an outlier
  - a large degree of skewness
  - more than one distinct mode
  - none of these features

- **Conclusion Dropdown Choices:**
  - can
  - cannot

The dotplot reveals (choose one) [an outlier]. Therefore, we (choose one) [cannot] treat this as a sample from an approximately normal distribution.

(b) The following boxplot illustrates a sample.

- **Boxplot Description:**
  - The boxplot displays a box with whiskers extending from the lower end at 0 to approximately 6.
  - The box itself begins around 2 and ends around 5.5, with a median line inside it at about 4.

- **Analysis Dropdown Choices:**
  - outlier(s)
  - a large degree of skewness
  - more than one distinct mode
  - none of these features

- **Conclusion Dropdown Choices:**
  - can
  - cannot

The boxplot reveals (choose one) [none of these features]. Therefore, we (choose one) [can] treat this as a sample from an approximately normal distribution.
expand button
Transcribed Image Text:**Part 1 of 4** (a) The following dotplot illustrates a sample. - **Dotplot Description:** - The dotplot shows individual data points along a horizontal axis ranging from 0 to 10. - The points are mostly clustered around the center of the range. - **Analysis Dropdown Choices:** - an outlier - a large degree of skewness - more than one distinct mode - none of these features - **Conclusion Dropdown Choices:** - can - cannot The dotplot reveals (choose one) [an outlier]. Therefore, we (choose one) [cannot] treat this as a sample from an approximately normal distribution. (b) The following boxplot illustrates a sample. - **Boxplot Description:** - The boxplot displays a box with whiskers extending from the lower end at 0 to approximately 6. - The box itself begins around 2 and ends around 5.5, with a median line inside it at about 4. - **Analysis Dropdown Choices:** - outlier(s) - a large degree of skewness - more than one distinct mode - none of these features - **Conclusion Dropdown Choices:** - can - cannot The boxplot reveals (choose one) [none of these features]. Therefore, we (choose one) [can] treat this as a sample from an approximately normal distribution.
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