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18. You are running a One-way ANOVA test at the 0.05 level of significance to determine if the population means for the three states are the same. What are the Null and Alternate hypotheses? a. Ho: The population means for the three states are the same. H₁: At least one of the three population means for the three states is different. b. Ho: Two out of the three population means for the three states are the same. H₁: The population means for the three states are all different. c. Ho: The population means for the three states are all the different. H₁: The population means for the three states are not all different. d. Ho: The population means for the three states are the same. H₁: The population means for the three states are all different. Ans. 19. What are the degrees of freedom between (numerator) and within (denominator)? a. 3 and 9 chal b. 3 and 10 c. 2 and 9 d. 2 and 10 Ans. 20. Calculate the F ratio. a. 0.51 b. 0.94 C. 2.43 d. 3.76 Ans.

18. You are running a One-way ANOVA test at the 0.05 level of significance to determine if the population means for the three states are the same. What are the Null and Alternate hypotheses? a. Ho: The population means for the three states are the same. H₁: At least one of the three population means for the three states is different. b. Ho: Two out of the three population means for the three states are the same. H₁: The population means for the three states are all different. c. Ho: The population means for the three states are all the different. H₁: The population means for the three states are not all different. d. Ho: The population means for the three states are the same. H₁: The population means for the three states are all different. Ans. 19. What are the degrees of freedom between (numerator) and within (denominator)? a. 3 and 9 chal b. 3 and 10 c. 2 and 9 d. 2 and 10 Ans. 20. Calculate the F ratio. a. 0.51 b. 0.94 C. 2.43 d. 3.76 Ans.

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
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Using the following data, help me solve questions 18-20. Please and thank you
### ANOVA Test Analysis Here's an educational breakdown for running a One-way ANOVA test, specifically at the 0.05 level of significance, for determining if the population means are the same across three states. #### Question 18 **Problem Statement:** You are running a One-way ANOVA test at the 0.05 level of significance to determine if the population means for the three states are the same. What are the Null and Alternate hypotheses? **Options:** a. \( H_0 \): The population means for the three states are the same. \( H_1 \): At least one of the three population means for the three states is different. b. \( H_0 \): Two out of the three population means for the three states are the same. \( H_1 \): The population means for the three states are all different. c. \( H_0 \): The population means for the three states are all different. \( H_1 \): The population means for the three states are not all different. d. \( H_0 \): The population means for the three states are the same. \( H_1 \): The population means for the three states are all different. **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 19 **Problem Statement:** What are the degrees of freedom **between** (numerator) and **within** (denominator)? **Options:** a. 3 and 9 b. 3 and 10 c. 2 and 9 d. 2 and 10 **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 20 **Problem Statement:** Calculate the F ratio. **Options:** a. 0.51 b. 0.94 c. 2.43 d. 3.76 **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 21 **Problem Statement:** Let’s say (instead of your calculations for number 19 and number 20 above) you found: \( F = 4.2 \), degrees of freedom (numerator) = 4, degrees of freedom (denominator) = 8. What would your **P-value
Transcribed Image Text:### ANOVA Test Analysis Here's an educational breakdown for running a One-way ANOVA test, specifically at the 0.05 level of significance, for determining if the population means are the same across three states. #### Question 18 **Problem Statement:** You are running a One-way ANOVA test at the 0.05 level of significance to determine if the population means for the three states are the same. What are the Null and Alternate hypotheses? **Options:** a. \( H_0 \): The population means for the three states are the same. \( H_1 \): At least one of the three population means for the three states is different. b. \( H_0 \): Two out of the three population means for the three states are the same. \( H_1 \): The population means for the three states are all different. c. \( H_0 \): The population means for the three states are all different. \( H_1 \): The population means for the three states are not all different. d. \( H_0 \): The population means for the three states are the same. \( H_1 \): The population means for the three states are all different. **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 19 **Problem Statement:** What are the degrees of freedom **between** (numerator) and **within** (denominator)? **Options:** a. 3 and 9 b. 3 and 10 c. 2 and 9 d. 2 and 10 **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 20 **Problem Statement:** Calculate the F ratio. **Options:** a. 0.51 b. 0.94 c. 2.43 d. 3.76 **Answer:** (Indicate the correct answer option) ``` Ans. _______ ``` #### Question 21 **Problem Statement:** Let’s say (instead of your calculations for number 19 and number 20 above) you found: \( F = 4.2 \), degrees of freedom (numerator) = 4, degrees of freedom (denominator) = 8. What would your **P-value
### Problems 18 - 22 #### Data for the days of rain in June from past years for three different states are given below: | State | Days of Rain (x) | Days of Rain Squared (x²) | |-------|-------------------|--------------------------| | State 1 | 4 | 5 | 3 | 5 | | Σx1 = | | | | | | Σ(x1)² = | | | | | | State 2 | 4 | 7 | 6 | 5 | 4 | | Σx2 = | | | | | | Σ(x2)² = | | | | | | State 3 | 5 | 4 | 8 | | Σx3 = | | | | | | Σ(x3)² = | | | | | N (Total number of data points) = ______ Σxtotal = ______ Σ(x total)² = ______ Answer: ______ This table records the number of days it rained in June for the past years in three different states. Each state has a column for the data (x) and another column for the squared data (x²). Summation rows (Σ) are provided to calculate the total and squared total rain days for each state and for all states combined (Σxtotal and Σ(x total)²). The total number of data points (N) should be summed up across all states.
Transcribed Image Text:### Problems 18 - 22 #### Data for the days of rain in June from past years for three different states are given below: | State | Days of Rain (x) | Days of Rain Squared (x²) | |-------|-------------------|--------------------------| | State 1 | 4 | 5 | 3 | 5 | | Σx1 = | | | | | | Σ(x1)² = | | | | | | State 2 | 4 | 7 | 6 | 5 | 4 | | Σx2 = | | | | | | Σ(x2)² = | | | | | | State 3 | 5 | 4 | 8 | | Σx3 = | | | | | | Σ(x3)² = | | | | | N (Total number of data points) = ______ Σxtotal = ______ Σ(x total)² = ______ Answer: ______ This table records the number of days it rained in June for the past years in three different states. Each state has a column for the data (x) and another column for the squared data (x²). Summation rows (Σ) are provided to calculate the total and squared total rain days for each state and for all states combined (Σxtotal and Σ(x total)²). The total number of data points (N) should be summed up across all states.
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