Which ONE of the following equations forms the basis of the One-way Anova calculations? between-groups sum of squares plus within-groups sum of squares = total sum of squares   between-groups sum of squares divided by within-groups sum of squares = total sum of squares   within-groups sum of squares divided by between-groups sum of squares = F-statistic   between-groups sum of squares plus within-groups sum of squares = F-statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Which ONE of the following equations forms the basis of the One-way Anova calculations?

between-groups sum of squares plus within-groups sum of squares = total sum of squares
 
between-groups sum of squares divided by within-groups sum of squares = total sum of squares
 
within-groups sum of squares divided by between-groups sum of squares = F-statistic
 
between-groups sum of squares plus within-groups sum of squares = F-statistic
 
The Anova procedure will be appropriate if certain conditions hold.  One of those conditions is that the

population variances should be the same.
 
sample variances should be different from each other.
 
population means should be the same.
 
 

Below is some info about a certain One-way Anova F-test.  Identify the null hypothesis, alternative hypothesis and final conclusion by choosing the BEST option for each blank.

          Categorical Variable: type of meat being cooked (all pieces of meat are cut into one-inch cubes)

          Quantitative Variable: time required to bring internal temperature to 165 deg F, when cooked at 350 deg F

          P-value = 0.039

          α = 0.035

Group of answer choices
Ho: 
 
           [ Choose ]             We conclude that type of meat determines cooking time.             We cannot conclude that type of meat determines cooking time.             Cooking time does not determine type of meat.             Type of meat does not determine cooking time.             We cannot conclude that cooking time determines type of meat.             Cooking time determines type of meat.             We conclude that cooking time determines type of meat.             Type of meat determines cooking time.         
 
Ha: 
 
           [ Choose ]             We conclude that type of meat determines cooking time.             We cannot conclude that type of meat determines cooking time.             Cooking time does not determine type of meat.             Type of meat does not determine cooking time.             We cannot conclude that cooking time determines type of meat.             Cooking time determines type of meat.             We conclude that cooking time determines type of meat.             Type of meat determines cooking time.         
 
Conclusion: 
 
           [ Choose ]             We conclude that type of meat determines cooking time.             We cannot conclude that type of meat determines cooking time.             Cooking time does not determine type of meat.             Type of meat does not determine cooking time.             We cannot conclude that cooking time determines type of meat.             Cooking time determines type of meat.             We conclude that cooking time determines type of meat.             Type of meat determines cooking time.         
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