Homework Help is Here – Start Your Trial Now!
Math
Statistics
The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.944. Judge whether a t-interval could be constructed using the data in the sample. Click here to view the nomal probability plot and the boxplat. Click here to view the table of citical values of the correlation coefficient. The normal probability plot does not suggest the data could come from a normal population because 0.944 > and the boxplot shows outliers, so a t-interval could not be constructed. (Round to three decimal places as nooded.) Critical values of the correlation coefficient - X Table of Critical Values of the Correlation Coefficient with Normal Probability Plots Normal probability plot and bloxplot Sample Size, n Critical Value 0.880 0.888 0.898 0.906 6 7 8 9 10 0.912 0.918 0.923 0.928 0.932 11 12 13 0.935 0.939 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0.960 14 40 15 16 17 18 10 20 Data -20 -10 30 40 50 60 19 20 21 22 23 24 Print Done 25 30 Print Done

The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.944. Judge whether a t-interval could be constructed using the data in the sample. Click here to view the nomal probability plot and the boxplat. Click here to view the table of citical values of the correlation coefficient. The normal probability plot does not suggest the data could come from a normal population because 0.944 > and the boxplot shows outliers, so a t-interval could not be constructed. (Round to three decimal places as nooded.) Critical values of the correlation coefficient - X Table of Critical Values of the Correlation Coefficient with Normal Probability Plots Normal probability plot and bloxplot Sample Size, n Critical Value 0.880 0.888 0.898 0.906 6 7 8 9 10 0.912 0.918 0.923 0.928 0.932 11 12 13 0.935 0.939 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0.960 14 40 15 16 17 18 10 20 Data -20 -10 30 40 50 60 19 20 21 22 23 24 Print Done 25 30 Print Done

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Checking my work

### Analysis of Normal Probability Plots and Correlation Coefficients **Data Analysis Context:** The data from a simple random sample with 25 observations was utilized to create the plots presented below. The normal probability plot constructed has a correlation coefficient of 0.944. This analysis helps determine whether a t-interval could be constructed based on this sample data. #### Instructions: - **Normal Probability Plot and Boxplot:** Clickable links suggest visual exploration of these statistical tools. - **Critical Values Table:** Refer to the table for sample size correlations. **Judgment Criterion:** - The normal probability plot **does not suggest** that the data could originate from a normal population due to the correlation coefficient of **0.944**. - The boxplot indicates the presence of **outliers**, thus a t-interval **could not** be constructed. **Normal Probability Plot Analysis:** - **Visuals:** The plot on the left demonstrates data alignment with a normal distribution. Points deviate from the central line, indicating possible non-normality. - **Boxplot Analysis:** The right boxplot displays data spread, highlighting outliers beyond the whiskers, which may suggest anomalies in the dataset. #### Critical Values Table: - Sample Size (\( n \)) versus Critical Value: - \( n = 5 \), Critical Value = 0.880 - \( n = 10 \), Critical Value = 0.912 - \( n = 15 \), Critical Value = 0.935 - \( n = 20 \), Critical Value = 0.951 - \( n = 25 \), Critical Value = 0.960 **Conclusion:** To establish a valid t-interval, data should closely follow a normal distribution. The correlation coefficient, combined with outlier presence, suggests caution in constructing a t-interval for this dataset. Further investigation or data transformation may be necessary for accurate inferential statistics. #### Visualization Tools: - **Zoom and Print Options:** Enhance data examination and documentation. - **Interactive Elements:** Suggest engagement for detailed analysis. _Time Remaining for Analysis: 44:50 minutes._
Transcribed Image Text:### Analysis of Normal Probability Plots and Correlation Coefficients **Data Analysis Context:** The data from a simple random sample with 25 observations was utilized to create the plots presented below. The normal probability plot constructed has a correlation coefficient of 0.944. This analysis helps determine whether a t-interval could be constructed based on this sample data. #### Instructions: - **Normal Probability Plot and Boxplot:** Clickable links suggest visual exploration of these statistical tools. - **Critical Values Table:** Refer to the table for sample size correlations. **Judgment Criterion:** - The normal probability plot **does not suggest** that the data could originate from a normal population due to the correlation coefficient of **0.944**. - The boxplot indicates the presence of **outliers**, thus a t-interval **could not** be constructed. **Normal Probability Plot Analysis:** - **Visuals:** The plot on the left demonstrates data alignment with a normal distribution. Points deviate from the central line, indicating possible non-normality. - **Boxplot Analysis:** The right boxplot displays data spread, highlighting outliers beyond the whiskers, which may suggest anomalies in the dataset. #### Critical Values Table: - Sample Size (\( n \)) versus Critical Value: - \( n = 5 \), Critical Value = 0.880 - \( n = 10 \), Critical Value = 0.912 - \( n = 15 \), Critical Value = 0.935 - \( n = 20 \), Critical Value = 0.951 - \( n = 25 \), Critical Value = 0.960 **Conclusion:** To establish a valid t-interval, data should closely follow a normal distribution. The correlation coefficient, combined with outlier presence, suggests caution in constructing a t-interval for this dataset. Further investigation or data transformation may be necessary for accurate inferential statistics. #### Visualization Tools: - **Zoom and Print Options:** Enhance data examination and documentation. - **Interactive Elements:** Suggest engagement for detailed analysis. _Time Remaining for Analysis: 44:50 minutes._
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS