Quiz 3 Name: ________________________________Stat 2171. An experiment was run to investigate how two types of glass and the three types of phosphorescent coating affect the brightness of a light bulb. The response variable is the current (in microamps) to obtain a specified brightness. Two-way Analysis of VarianceAnalysis of Variance for BrightnessSource DF SS MS F PGlass * 11451 11451 ***** 0.000Phosphor 2 59 30 **** 0.796Interaction 2 120 60 **** 0.634Error ** 1527 ***Total 17 13157 (a) How many light bulbs were used in this experiment? SHOW YOUR WORK (no work no credit).(b) Why is it appropriate to test for a Phosphor main effect?(c) Conduct the hypothesis test for a Phosphor main effect.- State the hypotheses. - Find DFE, MSE, and the value of the test statistic F for this test. SHOW YOUR WORK (no work, no credit)- Give the distribution of the test statistic assuming that the null hypothesis is true.- Give the p-value. - Make a decision at a significance level of .05.- Make a conclusion in terms of the problem.2. Does glass type affect the mean current in the light bulbs. Be sure to support your answer!3. What test do you need to perform to determine which glass types in light bulbs require the least amount of mean current? 4. Which of the following is NOT a two-way ANOVA assumption?A. Independent SRSs are taken from each population.B. The deviations () follow an F-distribution.C. The response follows a normal distribution for each population. D. The response has standard deviation for each population.5. Which of the following indicates a significant interaction between Factors A and B in a two-way ANOVA?A. The effect(s) of Factor A are the same at all levels of Factor B.B. The effect(s) of Factor A are not the same at all levels of Factor B.C. The line segments on the interaction plot are parallel.D. None of the above.6. The first hypothesis test to be performed in a two-way ANOVA is theA. Tukey Multiple Comparison Procedure.B. Interaction test.C. Factor A main effect test.D. Factor B main effect test.7. Which of the following is the two-way ANOVA model?A. ijiijxB. ijkijijkxC. ijijijxxD.
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