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 questions. Treatment # of observations Sample Mean Sum of Squares (SS) %23 private prep 60 680 265,500 high school prep 60 650 276,120 no prep 60 635 302,670 Using the data provided, calculate the values needed for the ANOVA summary table. (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 Squares (MS) between treatments within treatments

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 questions. Treatment # of observations Sample Mean Sum of Squares (SS) %23 private prep 60 680 265,500 high school prep 60 650 276,120 no prep 60 635 302,670 Using the data provided, calculate the values needed for the ANOVA summary table. (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 Squares (MS) between treatments within treatments

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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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 questions.
Treatment
# of observations
Sample Mean
Sum of Squares (SS)
private prep
60
680
265,500
high school prep
60
650
276,120
no prep
60
635
302,670
Using the data provided, calculate the values needed for the ANOVA summary table. (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 Squares (MS)
between treatments
within treatments
The sum of squares between treatments is
The sum of squares within treatments is
The df between treatments is
The df within treatments is
The mean square between treatments is
The mean square within treatments is

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