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Statistics - Hypothesis Testing and ANOVA

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The following data represent samples of size 45 which were drawn randomly from the graduating classes of three competing high schools ...
Construct a 98% confidence interval for the population mean SAT of the of students from High School 1.
Test the appropriate hypothesis to examine if High Schools 1 and 2 differ significantly in average SAT scores. Use a significance level of 0.05.

Develop a one-way Analysis of Variance to test the Hypothesis that the average SAT scores for the three High Schools are equal.

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The expert examines hypothesis testing and ANOVA. A complete, neat and step-by-step solution is provided in the attached file.

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