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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.) Source Sum of Squares (SS) df Mean Square (MS) Between treatments Within treatments 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? O The SStotal is used in the calculation of the F test statistic. The total sums of squares is the sometimes called the "error term." The MStotal is used in the calculation of the F test statistic. O The SStotal is sometimes easier to calculate than SSbetween Since SSwithin + SSbetween = SStotal, you can use SStotal to calculate SSbetween 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

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.) Source Sum of Squares (SS) df Mean Square (MS) Between treatments Within treatments 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? O The SStotal is used in the calculation of the F test statistic. The total sums of squares is the sometimes called the "error term." The MStotal is used in the calculation of the F test statistic. O The SStotal is sometimes easier to calculate than SSbetween Since SSwithin + SSbetween = SStotal, you can use SStotal to calculate SSbetween 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

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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5. ANOVA calculations and rejection of the null hypothesis 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.) Source Sum of Squares (SS) df Mean Square (MS) Between treatments Within treatments 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? O The SStotal is used in the calculation of the F test statistic. O The total sums of squares is the sometimes called the "error term." The MStotal is used in the calculation of the F test statistic. O The SStotal is sometimes easier to calculate than SSbetween Since SSwithin + SSbetween = SStotal, you can use SStotal to calculate SSbetween 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 test statistic is most likely . In general, you should reject the null hypothesis for
Transcribed Image Text:5. ANOVA calculations and rejection of the null hypothesis 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.) Source Sum of Squares (SS) df Mean Square (MS) Between treatments Within treatments 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? O The SStotal is used in the calculation of the F test statistic. O The total sums of squares is the sometimes called the "error term." The MStotal is used in the calculation of the F test statistic. O The SStotal is sometimes easier to calculate than SSbetween Since SSwithin + SSbetween = SStotal, you can use SStotal to calculate SSbetween 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 test statistic is most likely . In general, you should reject the null hypothesis for
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