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1. The minitab output below represents a 2-way ANOVA where

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1. The minitab output below represents a 2-way ANOVA where the factors of time of day a class was taken and instruction type with the response variable as the final grade received in the class. All hypothesis tests should be performed using α = 0.05 (20 points)

Two-way ANOVA: Final Grade versus Time of Day, Instruction Type

Source DF SS MS F P Time of Day 2 186.33 93.1667 2.33 0.153 Instruction Type 2 69.33 34.6667 0.87 0.453 Interaction 4 384.33 96.0833 2.40 0.127 Error 9 360.50 40.0556 Total 17 1000.50

S = 6.329 R-Sq = 63.97% R-Sq(adj) = 31.94%

Two-way ANOVA: Final Grade versus Time of Day, Instruction Type

Source DF SS MS F P Time of Day 2 186.33 93.1667 1.63 0.234 Instruction Type 2 69.33 34.6667 0.61 0.561 Error 13 744.83 57.2949 Total 17 1000.50

S = 7.569 R-Sq = 25.55% R-Sq(adj) = 2.65%

a. Test for an interaction

State the Null and Alternative Hypotheses:

State the test statistic:

State the p-value:

Decision: Conclusion

b. Both minitab outputs, with interaction and without are given. Use the appropriate output to test if time of day has an effect on final grade.

State the Null and Alternative Hypotheses:

State the test statistic:

State the p-value:

Decision

Conclusion

c. Both minitab outputs, with interaction and without are given. Use the appropriate output to test if instruction type has an effect on final grade.

Ok. I'll put in the detail if required anywhere. By the first look, it seems we only have to pick up correct statistics from the supplied output and interpret it.

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