Problem Set: Chapter 12 Introduction to Analysis of Variance 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. Number of Observations Sample Mean Sum of Squares (SS) Treatment Private prep class 60 650 132,750.00 High school prep class 60 645 147,500.00 No prep class 60 625 162,250.00 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.) Sum of Squares (SS) Mean Square (MS) Source df Between treatments Within treatments In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total. Which of the following reasons best explains why the within-treatments variance is sometimes referred to as the "error variance"? O The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment; therefore, the differences are sometimes referred to as "error." The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are sometimes referred to as "error." Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these

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Problem Set: Chapter 12 Introduction to Analysis of Variance
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O Catalog and Study Tools
Source
Sum of Squares (SS)
df
Mean Square (MS)
Between treatments
А-Z
Partner Offers
Within treatments
Rental Options
In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total. Which of the following reasons
best explains why the within-treatments variance is sometimes referred to as the "error variance"?
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The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the
Career Success Tips
treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment;
therefore, the differences are sometimes referred to as "error."
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The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples
assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are
NO
sometimes referred to as "error."
Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these
differences are sometimes referred to as "error."
How to Say "No"
Differences among members of the sample who received the same treatment occur because some treatments are more effective than
others, so it would be an error to receive the less superior treatments.
Help
In ANOVA, the F test statistic is the
of the between-treatments variance and the within-treatments variance. The value of the F test
Give Feedback
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
Grade It Now
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Continue without saving
O O
Transcribed Image Text:ng.cengage.com Files S Drake Equation | SETI In... Drake Equation Calculator (25) Carl Sagan's Cosm... b Verify Email | bartleby b My Tutoring | bartleby MindTap - Cengage Lea... Chase v « CENGAGE MINDTAP Q Search this course A My Home Problem Set: Chapter 12 Introduction to Analysis of Variance Courses O Catalog and Study Tools Source Sum of Squares (SS) df Mean Square (MS) Between treatments А-Z Partner Offers Within treatments Rental Options In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total. Which of the following reasons best explains why the within-treatments variance is sometimes referred to as the "error variance"? College Success Tips The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the Career Success Tips treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment; therefore, the differences are sometimes referred to as "error." RECOMMENDED FOR YOU The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are NO sometimes referred to as "error." Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error." How to Say "No" Differences among members of the sample who received the same treatment occur because some treatments are more effective than others, so it would be an error to receive the less superior treatments. Help In ANOVA, the F test statistic is the of the between-treatments variance and the within-treatments variance. The value of the F test Give Feedback 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 Grade It Now Save & Continue Continue without saving O O
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Problem Set: Chapter 12 Introduction to Analysis of Variance
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
Courses
school preparation class, and no preparation class. Use the information from the table to answer the remaining questions.
Catalog and Study Tools
А-Z
Treatment
Number of Observations
Sample Mean
Sum of Squares (SS)
Partner Offers
Private prep class
60
650
132,750.00
Rental Options
High school prep class
60
645
147,500.00
No prep class
60
625
162,250.00
College Success Tips
Career Success Tips
Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean
RECOMMENDED FOR YOU
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
Managing Your Study Time
In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total. Which of the following reasons
best explains why the within-treatments variance is sometimes referred to as the "error variance"?
Help
The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the
Give Feedback
treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment;
therefore, the differences are sometimes referred to as "error."
The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples
assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are
sometimes referred to as "error."
Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these
differences are sometimes referred to as "error."
Transcribed Image Text:ng.cengage.com S Drake Equation | SETI In... Drake Equation Calculator (25) Carl Sagan's Cosm... b Verify Email | bartleby b My Tutoring | bartleby Files Mind Tap - Cengage Lea... Chase v « CENGAGE MINDTAP Q Search this course My Home Problem Set: Chapter 12 Introduction to Analysis of Variance 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 Courses school preparation class, and no preparation class. Use the information from the table to answer the remaining questions. Catalog and Study Tools А-Z Treatment Number of Observations Sample Mean Sum of Squares (SS) Partner Offers Private prep class 60 650 132,750.00 Rental Options High school prep class 60 645 147,500.00 No prep class 60 625 162,250.00 College Success Tips Career Success Tips Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean RECOMMENDED FOR YOU 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 Managing Your Study Time In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total. Which of the following reasons best explains why the within-treatments variance is sometimes referred to as the "error variance"? Help The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the Give Feedback treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment; therefore, the differences are sometimes referred to as "error." The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are sometimes referred to as "error." Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error."
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