**Practice Problems**A data set lists birth weights from babies born at four different hospitals. After partitioning the birth weights according to hospital, the accompanying ANOVA table was produced. Use a 0.05 significance level to test the claim that the different hospitals have the same mean birth weights. Do birth weights appear to be the same at these four hospitals?**ANOVA Table:**```| Source | DF | SS | MS | F-Stat | P-Value ||---------|--------|------------------|----------------|--------------|------------|| Columns | 3 | 1925996.7 | 641998.87 | 1.4570255 | 0.2258 || Errors | 406 | 1.788998e8 | 440622.95 | | || Totals | 409 | 1.808198e8 | | | |```**Questions:**A. Determine the null and alternative hypothesis.B. What is the test statistic?C. What is the P-Value?D. What is the conclusion of the hypothesis test?**Explanation:**- **Source:** This column indicates the source of the variability. "Columns" refers to the variability between the different hospitals, and "Errors" refers to the within-group variability.- **DF (Degrees of Freedom):** This column contains the degrees of freedom for the respective source of variability. "Columns" has 3 degrees of freedom, and "Errors" has 406 degrees of freedom.- **SS (Sum of Squares):** This represents the total sum of squares for each source.- **MS (Mean Square):** This is the mean sum of squares for each source, calculated as SS divided by DF.- **F-Stat:** This is the test statistic for the F-test. For the "Columns" source, it is 1.4570255.- **P-Value:** This indicates the p-value associated with the F-statistic. For the "Columns" source, the p-value is 0.2258.**Graph/Diagram Explanation:**There are no graphs or diagrams accompanying this text. The ANOVA table presents all the necessary data for analysis.

Solution: The output for the analysis of variance is given. The claim is that the different…

A data set lists birth weights from babies bom at four different hospitals. After partitioning the birth weights according to hospital, the accompanying ANOVA table was produced. Use a 0.05 significance level to test the claim that the different hospitals have the same mean birth weights. Do birth weights appear to be the same at these four hospitals? Anova 田 Source DF SS MS F-Stat P-Value Columns 3 1925997 641998.87 1.4570255 0.2258 Errors 406 1.78893e8 440622.95 Totals 409 1.80819e8 A. Determine the null and alternative hypothesis B. What is the test statistic? C. What is the P Value? D. What is the conclusion of the hypothesis test?

A data set lists birth weights from babies bom at four different hospitals. After partitioning the birth weights according to hospital, the accompanying ANOVA table was produced. Use a 0.05 significance level to test the claim that the different hospitals have the same mean birth weights. Do birth weights appear to be the same at these four hospitals? Anova 田 Source DF SS MS F-Stat P-Value Columns 3 1925997 641998.87 1.4570255 0.2258 Errors 406 1.78893e8 440622.95 Totals 409 1.80819e8 A. Determine the null and alternative hypothesis B. What is the test statistic? C. What is the P Value? D. What is the conclusion of the hypothesis test?

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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