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A researcher performed ANOVA using data from a sample of 250 students with GPA a

ID: 3218812 • Letter: A

Question

A researcher performed ANOVA using data from a sample of 250 students with GPA as the dependent variable, and discipline (groups are business studies, natural sciences, and social sciences) as factor. ANOVA showed a total sum of squares of 4152 and a mean sum of squares between groups of 100. Based on this information the observed value of the test statistic is _____.

D. None of the above

A researcher performed ANOVA using data from a sample of 250 students with GPA as the dependent variable, and discipline as factor (groups are business studies, natural sciences, and social sciences). ANOVA showed a total sum of squares of 4152 and a mean sum of squares between groups of 100. Assuming that everything else remains unchanged, a 50% decrease in sample size would result in a critical F value of _____.

A. 6.250 B. 6.412 C. 6.021

D. None of the above

A researcher performed ANOVA using data from a sample of 250 students with GPA as the dependent variable, and discipline as factor (groups are business studies, natural sciences, and social sciences). ANOVA showed a total sum of squares of 4152 and a mean sum of squares between groups of 100. Assuming that everything else remains unchanged, a 50% decrease in sample size would result in a critical F value of _____.

A. 3.032 B. 3.069 C. 19.488 D. 3.071

Explanation / Answer

1) A = 6.250

2) 50% redduced in sample size leads to the f-value = 3.08704 which is closest to d i.e. 3.071

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