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Information Regarding the ACT Scores of Samples of Students in Three

question 55

Essay

Information regarding the ACT scores of samples of students in three different majors is given below.
Major
 Management  Finance  Accounting 2822292623272524262722282124251926262727281729201728202324282829 Sums230225338 Means232526 Variances186.75933\begin{array} { c c r } &\text { Management } & \text { Finance } & \text { Accounting } \\&28 & 22 & 29 \\&26 & 23 & 27 \\&25 & 24 & 26 \\&27 & 22 & 28 \\&21 & 24 & 25 \\&19 & 26 & 26 \\&27 & 27 & 28 \\&17 & 29 & 20 \\&17 & 28 & 20 \\&23 & & 24 \\&& & 28 \\&& & 28 \\&&&29\\\\\text { Sums}&230 & 225 & 338 \\\text { Means}&23 & 25 & 26 \\ \text { Variances}&18 & 6.75 & 933\end{array}
a. Set up the ANOVA table for this problem.
b. At 95% confidence test to determine whether there is a significant difference in the means of the three populations.

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Definitions:

Coefficient Of Correlation

A quantitative analysis that measures the potency and vector of a linear correlation between two entities.

Positive Linear Relationship

A relationship between two variables where an increase in one variable is associated with an increase in the other variable, represented by a positive slope on a scatter plot.

Confidence Interval

A span of numerical estimates, calculated using sample data, which probably includes the value of an unspecified parameter within the population.

Regression Line

A line that best fits a set of data points in linear regression analysis, showing the general direction in which the data tend to go.

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