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Determine the upper-tail critical value from f-distribution

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Reference no: EM13914060

A statistics instructor wonders whether there is a significant difference in her student's GPA for each of her three sections. She randomly selects the GPA's from different students in each section. The data is shown below. At the 5% significance level is there evidence of a difference GPA's by section? The variance for Section 1 is .257, Section 2 is .0897 and Section 3 is .063. You must show/attach all your work to receive points.

GPA
Section 1 Section 2 Section 3
3.2 3.0 2.5
2.7 3.6 2.9
2.3 3.4 2.9
3.4 3.6 3.2
3.5 2.9 2.8

3.4

a) State H0 and H1.

b) Fill in the table. All work supporting the information in the table must be included on this sheet or attached.

Source of Variation Degree of Freedom Sum of Squares Mean Square F
Treatment ---------
 --------- --------- ---------
Error ---------
 --------- ---------
Total ---------
 ---------

c) Determine the upper-tail critical value from the F-distribution.

d) What is your decision? Reject or do not reject Ho?

e) What is your conclusion?

Reference no: EM13914060

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