### Analyzing Normal Quantile Plot for Geyser Eruptions#### Description:The normal quantile plot displayed represents the duration times (in seconds) of eruptions of a particular geyser gathered from the accompanying data set. The goal is to examine this plot and determine whether it depicts sample data from a population with a normal distribution.#### Instructions:- Examine the normal quantile plot.- Determine if the distribution of the eruption durations follows a normal distribution.[**Click the icon to view the data set.**]#### Data Table:The data set provided corresponds to eruption durations (shown in seconds) as follows:| Duration (sec) | Duration (sec) | Duration (sec) ||----------------|----------------|----------------|| 202 | 199 | 213 || 150 | 158 | 183 || 130 | 192 | 216 || 217 | 180 | 162 || 197 | 228 | 209 || 280 | 186 | 163 || 236 | 113 | 250 || 183 | 216 | 145 || 162 | 200 | 225 || 209 | 201 | 267 || 213 | 188 | 235 || 163 | 162 | 197 || 250 | 255 | 180 || 145 | 205 | 222 || 225 | 200 | 204 || 169 | 166 |#### Plot Analysis:The normal quantile plot to the right of the data distribution:**Graph Explanation:**- The X-axis represents the sample data values.- The Y-axis represents the theoretical quantiles from a standard normal distribution.- The red line indicates a perfectly normal distribution.**Interpretation Task:**Based on the plotted points in comparison with the red line, choose the correct analysis of the data distribution.#### Question:**Choose the correct answer below:**- (A) **The distribution is not normal.** The points are not reasonably close to a straight line.- (B) **The distribution is normal.** The points show a systematic pattern that is not a straight-line pattern.- (C) **The distribution is normal.** The points are reasonably close to a straight line and do not show a systematic pattern that is not a straight-line pattern.- (D) **The distribution is not normal.** The points

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Description: ### Analyzing Normal Quantile Plot for Geyser Eruptions#### Description:The normal quantile plot displayed represents the duration times (in seconds) of eruptions of a particular geyser gathered from the accompanying data set. The goal is to examine

The distribution is said to be normal if the points in the normal quantile plot are close to the…

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The normal quantile plot shown to the right represents duration times (in seconds) of eruptions of a certain geyser from the accompanying data set. Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution. E Click the icon to view the data set. Choose the correct answer below. O A. The distribution is not normal. The points are not reasonably close to a straight line. O B. The distribution is normal. The points show a systematic pattern that is not a straight-line pattern. ) C. The distribution is normal. The points are reasonably close to a straight line and do not show a systematic pattern that is not a straight-line pattern. O D. The distribution is not normal. The points do not show any systematic pattern.

The normal quantile plot shown to the right represents duration times (in seconds) of eruptions of a certain geyser from the accompanying data set. Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution. E Click the icon to view the data set. Choose the correct answer below. O A. The distribution is not normal. The points are not reasonably close to a straight line. O B. The distribution is normal. The points show a systematic pattern that is not a straight-line pattern. ) C. The distribution is normal. The points are reasonably close to a straight line and do not show a systematic pattern that is not a straight-line pattern. O D. The distribution is not normal. The points do not show any systematic pattern.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

### Analyzing Normal Quantile Plot for Geyser Eruptions

#### Description:
The normal quantile plot displayed represents the duration times (in seconds) of eruptions of a particular geyser gathered from the accompanying data set. The goal is to examine this plot and determine whether it depicts sample data from a population with a normal distribution.

#### Instructions:
- Examine the normal quantile plot.
- Determine if the distribution of the eruption durations follows a normal distribution.

[**Click the icon to view the data set.**]

#### Data Table:
The data set provided corresponds to eruption durations (shown in seconds) as follows:

| Duration (sec) | Duration (sec) | Duration (sec) |
|----------------|----------------|----------------|
| 202 | 199 | 213 |
| 150 | 158 | 183 |
| 130 | 192 | 216 |
| 217 | 180 | 162 |
| 197 | 228 | 209 |
| 280 | 186 | 163 |
| 236 | 113 | 250 |
| 183 | 216 | 145 |
| 162 | 200 | 225 |
| 209 | 201 | 267 |
| 213 | 188 | 235 |
| 163 | 162 | 197 |
| 250 | 255 | 180 |
| 145 | 205 | 222 |
| 225 | 200 | 204 |
| 169 | 166 |

#### Plot Analysis:
The normal quantile plot to the right of the data distribution:

**Graph Explanation:**
- The X-axis represents the sample data values.
- The Y-axis represents the theoretical quantiles from a standard normal distribution.
- The red line indicates a perfectly normal distribution.

**Interpretation Task:**
Based on the plotted points in comparison with the red line, choose the correct analysis of the data distribution.

#### Question:
**Choose the correct answer below:**

- (A) **The distribution is not normal.** The points are not reasonably close to a straight line.
- (B) **The distribution is normal.** The points show a systematic pattern that is not a straight-line pattern.
- (C) **The distribution is normal.** The points are reasonably close to a straight line and do not show a systematic pattern that is not a straight-line pattern.
- (D) **The distribution is not normal.** The points

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