he following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions. Treatment Number of Observations Sample Mean Sum of Squares (SS) Private prep class 50 610 122,500.00 High school prep class 50 600 127,400.00 No prep class 50 590 139,650.00 Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean times the number of observations. G, the grand total, can be calculated from the values of T once you have calculated them.) Between treatments _______ (sum of squares) df_______ mean square ______ within treatments ___________ (sum of squares df_______ mean square__________ ANOVA summary tables typically have a “Total” row not included in the partial table you just completed. Which of the following is a possible reason for including this row? The SStotaltotal is used in the calculation of the F test statistic. The MStotaltotal is used in the calculation of the F test statistic.
he following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions. Treatment Number of Observations Sample Mean Sum of Squares (SS) Private prep class 50 610 122,500.00 High school prep class 50 600 127,400.00 No prep class 50 590 139,650.00 Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean times the number of observations. G, the grand total, can be calculated from the values of T once you have calculated them.) Between treatments _______ (sum of squares) df_______ mean square ______ within treatments ___________ (sum of squares df_______ mean square__________ ANOVA summary tables typically have a “Total” row not included in the partial table you just completed. Which of the following is a possible reason for including this row? The SStotaltotal is used in the calculation of the F test statistic. The MStotaltotal is used in the calculation of the F test statistic.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions.
|
Treatment
|
Number of Observations
|
Sample Mean
|
Sum of Squares (SS)
|
|---|---|---|---|
| Private prep class | 50 | 610 | 122,500.00 |
| High school prep class | 50 | 600 | 127,400.00 |
| No prep class | 50 | 590 | 139,650.00 |
Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean times the number of observations. G, the grand total, can be calculated from the values of T once you have calculated them.)
Between treatments _______ (sum of squares) df_______ mean square ______
within treatments ___________ (sum of squares df_______
mean square__________
ANOVA summary tables typically have a “Total” row not included in the partial table you just completed. Which of the following is a possible reason for including this row?
The SStotaltotal is used in the calculation of the F test statistic.
The MStotaltotal is used in the calculation of the F test statistic.
The SStotaltotal is sometimes easier to calculate than SSbetweenbetween. Since SSwithinwithin + SSbetweenbetween = SStotaltotal, you can use SStotaltotal to calculate SSbetweenbetween.
The total sums of squares is the sometimes called the “error term.”
In ANOVA, the F test statistic is the of the between-treatments variance and the within-treatments variance. The value of the F test statistic is .
When the null hypothesis is true, the F test statistic is ____ . When the null hypothesis is false, the F test statistic is most likely _____ . In general, you should reject the null hypothesis for________ .
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