The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? Click the icon to view the data. *** (a) Compute the z-score corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result. standard deviation(s) The z-score corresponding to the individual is and indicates that the data value is (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q₁ = mpg Q₂ = mpg Q₂ = mpg (Type integers or decimals. Do not round.) the MPG Data ▼ (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) The interquartile range is mpg. It is the range of (d) Determine the lower and upper fences. Are there any outliers? The lower fence is The upper fence is Time intensor danimals Do not mind I 32.3 36.0 37.7 38.6 39.9 42.3 34.2 36.3 38.0 38.8 40.7 42.7 34.6 37.4 38.3 39.4 41.4 43.7 35.4 37.6 38.5 39.7 41.5 49.0 D - X
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? Click the icon to view the data. *** (a) Compute the z-score corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result. standard deviation(s) The z-score corresponding to the individual is and indicates that the data value is (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q₁ = mpg Q₂ = mpg Q₂ = mpg (Type integers or decimals. Do not round.) the MPG Data ▼ (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) The interquartile range is mpg. It is the range of (d) Determine the lower and upper fences. Are there any outliers? The lower fence is The upper fence is Time intensor danimals Do not mind I 32.3 36.0 37.7 38.6 39.9 42.3 34.2 36.3 38.0 38.8 40.7 42.7 34.6 37.4 38.3 39.4 41.4 43.7 35.4 37.6 38.5 39.7 41.5 49.0 D - X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Certainly! Here is the transcribed content for the educational website:
---
### Statistical Analysis of Miles Per Gallon Data
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0-liter engine.
**Tasks:**
(a) **Compute the z-score** corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result.
- The z-score corresponding to the individual is [__] and indicates that the data value is [__] standard deviation(s) [__] the [__].
*(Type integers or decimals rounded to two decimal places as needed.)*
(b) **Determine the quartiles.**
- \(Q_1 =\) [__] mpg
- \(Q_2 =\) [__] mpg
- \(Q_3 =\) [__] mpg
*(Type integers or decimals. Do not round.)*
(c) **Compute and interpret the interquartile range (IQR).** Select the correct choice below and fill in the answer box to complete your choice.
- The interquartile range is [__] mpg. It is the range of [__].
(d) **Determine the lower and upper fences.** Are there any outliers?
- The lower fence is [__].
- The upper fence is [__].
*(Type integers or decimals. Do not round.)*
**MPG Data Table:**
```
32.3, 36.0, 37.7, 38.6, 39.9, 42.3
34.2, 36.3, 38.0, 38.6, 40.7, 42.7
34.6, 37.4, 38.3, 39.4, 41.4, 43.7
35.4, 37.6, 38.5, 39.7, 41.5, 49.0
```
This data set allows for the calculation of various statistical measures such as z-scores, quartiles, and identification of potential outliers. Understanding these concepts provides insights into the performance and efficiency distribution of the vehicles sampled.
---
This transcription has been crafted to aid students or educators in navigating statistical analysis with the provided data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45aded91-4d29-4986-965f-e8d34c788feb%2Ffc9ec35c-959d-4526-84c6-5dddefda1248%2Fjkz8u2k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcribed content for the educational website:
---
### Statistical Analysis of Miles Per Gallon Data
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0-liter engine.
**Tasks:**
(a) **Compute the z-score** corresponding to the individual who obtained 41.5 miles per gallon. Interpret this result.
- The z-score corresponding to the individual is [__] and indicates that the data value is [__] standard deviation(s) [__] the [__].
*(Type integers or decimals rounded to two decimal places as needed.)*
(b) **Determine the quartiles.**
- \(Q_1 =\) [__] mpg
- \(Q_2 =\) [__] mpg
- \(Q_3 =\) [__] mpg
*(Type integers or decimals. Do not round.)*
(c) **Compute and interpret the interquartile range (IQR).** Select the correct choice below and fill in the answer box to complete your choice.
- The interquartile range is [__] mpg. It is the range of [__].
(d) **Determine the lower and upper fences.** Are there any outliers?
- The lower fence is [__].
- The upper fence is [__].
*(Type integers or decimals. Do not round.)*
**MPG Data Table:**
```
32.3, 36.0, 37.7, 38.6, 39.9, 42.3
34.2, 36.3, 38.0, 38.6, 40.7, 42.7
34.6, 37.4, 38.3, 39.4, 41.4, 43.7
35.4, 37.6, 38.5, 39.7, 41.5, 49.0
```
This data set allows for the calculation of various statistical measures such as z-scores, quartiles, and identification of potential outliers. Understanding these concepts provides insights into the performance and efficiency distribution of the vehicles sampled.
---
This transcription has been crafted to aid students or educators in navigating statistical analysis with the provided data set.
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