Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology.From each institution,a random sample of MS recipients was selected,and these recipients were then given the exam.The following table shows the scores of the students from each university.Note that the sample sizes are not equal.
a.Compute the overall mean.
b.At = 0.01,test to see if there is any significant difference in the average scores of the students from the three universities.Use both the critical value and p-value approaches.
Definitions:
Finite Population Correction Factor
A correction used in sampling to adjust for the effect of sampling without replacement from a finite population.
Subset
A set of elements that are all members of another set, and possibly fewer in number.
Standard Error
A measure of the dispersion or variability in a sample statistic from the population parameter.
Infinite Population
A theoretical concept where the population size is considered unlimited or endlessly large for statistical analysis.
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