Answered: The following table summarizes the…

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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Question

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	680	220,500.00
High school prep class	50	650	229,320.00
No prep class	50	635	251,370.00

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?

The total sums of squares is the sometimes called the “error term.”

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.

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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